{"pages":{"search":{"query":"Dot_Productions","originalQuery":"Dot_Productions","serpid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","parentReqid":"","serpItems":[{"id":"3340836659935112710-0-0","type":"videoSnippet","props":{"videoId":"3340836659935112710"},"curPage":0},{"id":"14718136774652240418-0-1","type":"videoSnippet","props":{"videoId":"14718136774652240418"},"curPage":0},{"id":"3571834385983922275-0-2","type":"videoSnippet","props":{"videoId":"3571834385983922275"},"curPage":0},{"id":"9842327348914924377-0-3","type":"videoSnippet","props":{"videoId":"9842327348914924377"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dERvdF9Qcm9kdWN0aW9ucwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","ui":"desktop","yuid":"7279889511769648335"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"16874908634620070934-0-5","type":"videoSnippet","props":{"videoId":"16874908634620070934"},"curPage":0},{"id":"12606345711986290714-0-6","type":"videoSnippet","props":{"videoId":"12606345711986290714"},"curPage":0},{"id":"4078910869074106546-0-7","type":"videoSnippet","props":{"videoId":"4078910869074106546"},"curPage":0},{"id":"13633591594800634020-0-8","type":"videoSnippet","props":{"videoId":"13633591594800634020"},"curPage":0},{"id":"14252007410179826071-0-9","type":"videoSnippet","props":{"videoId":"14252007410179826071"},"curPage":0},{"id":"41640573347397137-0-10","type":"videoSnippet","props":{"videoId":"41640573347397137"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dERvdF9Qcm9kdWN0aW9ucwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","ui":"desktop","yuid":"7279889511769648335"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"3744212534889811015-0-12","type":"videoSnippet","props":{"videoId":"3744212534889811015"},"curPage":0},{"id":"7693276920304999537-0-13","type":"videoSnippet","props":{"videoId":"7693276920304999537"},"curPage":0},{"id":"1316440692208630648-0-14","type":"videoSnippet","props":{"videoId":"1316440692208630648"},"curPage":0},{"id":"14811746038038338537-0-15","type":"videoSnippet","props":{"videoId":"14811746038038338537"},"curPage":0},{"id":"1787444110442225591-0-16","type":"videoSnippet","props":{"videoId":"1787444110442225591"},"curPage":0},{"id":"5564596137825338746-0-17","type":"videoSnippet","props":{"videoId":"5564596137825338746"},"curPage":0},{"id":"6691880653773756030-0-18","type":"videoSnippet","props":{"videoId":"6691880653773756030"},"curPage":0},{"id":"17962396848100913032-0-19","type":"videoSnippet","props":{"videoId":"17962396848100913032"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dERvdF9Qcm9kdWN0aW9ucwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","ui":"desktop","yuid":"7279889511769648335"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDot_Productions"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"5489318515896597327136","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1472323,0,95;1470499,0,70;1457622,0,66;124068,0,70;1424968,0,57;1476204,0,6;1460710,0,17;1460214,0,52;1152684,0,47;1456929,0,7;1472029,0,7;1469893,0,54;1461712,0,87;1470221,0,70;1469608,0,47;1466295,0,75;1465947,0,0;1476064,0,68;1466077,0,98;1467149,0,45;1452016,0,43;1349038,0,28;1454917,0,45;1467619,0,34;1404017,0,64;1466271,0,76;912221,0,72;1145208,0,0;151171,0,26;1281084,0,2;287509,0,78;86183,0,2;1447467,0,43;1006024,0,35;1473596,0,20;1468028,0,91;1476846,0,31;912281,0,8"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDot_Productions","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Dot_Productions","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Dot_Productions","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Dot_Productions: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Dot_Productions\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Dot_Productions — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y34f30daa49c4c71e896ff26d69e16d77","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1472323,1470499,1457622,124068,1424968,1476204,1460710,1460214,1152684,1456929,1472029,1469893,1461712,1470221,1469608,1466295,1465947,1476064,1466077,1467149,1452016,1349038,1454917,1467619,1404017,1466271,912221,1145208,151171,1281084,287509,86183,1447467,1006024,1473596,1468028,1476846,912281","queryText":"Dot_Productions","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7279889511769648335","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1472666,1475824,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769648403","tz":"America/Louisville","to_iso":"2026-01-28T20:00:03-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1472323,1470499,1457622,124068,1424968,1476204,1460710,1460214,1152684,1456929,1472029,1469893,1461712,1470221,1469608,1466295,1465947,1476064,1466077,1467149,1452016,1349038,1454917,1467619,1404017,1466271,912221,1145208,151171,1281084,287509,86183,1447467,1006024,1473596,1468028,1476846,912281","queryText":"Dot_Productions","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7279889511769648335","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"5489318515896597327136","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":167,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"7279889511769648335","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1757.0__1e42d45c824ef14ef6767326055fb713b0c3a145","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","feedback":"296","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"3340836659935112710":{"videoId":"3340836659935112710","docid":"34-9-4-ZCDF47B7FF8893E82","description":"The super easy and quick concept of Dot product of vectors and scalar multiplication of vectors is explained in this video. #dotproduct...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/776642/cfa3c0ade88b2c73ceffe35dc394fba6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/6MQCsQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D5qv8RmIpM_I","linkTemplate":"/video/preview/3340836659935112710?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product and Scalar Product of Vectors, Physics","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=5qv8RmIpM_I\",\"src\":\"serp\",\"rvb\":\"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_AUB_wD8BfwGAQf9AgoJ__f2AAAA8w729AMBAAD09wP_9wAAAA79AQMKAAAA7Qrz8_4BAAAWBPQA9QAAAPz7Af_wAQAAA_r9Af4BAADlCfj5AgAAAAQEBgb0_gEA-wQE_QAAAAD4-AL7AAAAAAUB-wUAAAAAIAAtaizPOzgTQAlITlACKoQCEAAa8AF_9AX-3-vEAc8GvQCyCRABjD8E_yQu2gCqMjMElRIK_9b91AD16p7_9r3cANA6OgAeBsz_GNYe_wrf5v8rF_AB-9YMAPvHCANF2-sAFRXSAQHo7v3fFi7-Hc7JAxAe7_3w-DH77_vc-f7gwAD66DgBOwAwARzyKQMAywsGEDQO-ibT4_7vGhQE2r71-trzOQn73eEB-uL0884cBAUtHev3CO779_EW0f4CBeEEGtD6-PTvCvnF6ukEJPgqB8UyBfbw9S4C3fTd-iAeEvUg8_UB-xvk-fvb8AwlH_8D6MLwA_kkB_X-GyDxqPYG8_IMEgUgAC1F4vY6OBNACUhhUAIqzwcQABrAB1wfxr4AQXQ9pxKUPNK6p724QCI9VWWEvCMT8L3XLSc99_1AvLw_jj3dkyg7ieApvRx4db5qfBA9fDjSPMuAMz7m0Yi9mGIzPNlDS75DknY7KX-Cvcly8r3BahG9AhWru7YvAD6UUHU9CYz1O9aiLz1UPfS82qQqu5FWRjy0jqq8lIAdvfN_Xb2Bhg29HZGMuv7VQz1gPnm9fNa1PEZYyT28foy9RTs4O9-S0jzEjQA9dEhFuxaSYr0RXnW7PvTTvIJCyD3aE-48ItjdPDm3ybwrbrc8hlanPHN2_LwzuLc8Dw52vBBmCb0ZYks9JSL8vBbC6j0HT5c9Xgatu2zp0b2pVqU9bRrbvORm-D1mTOE9GCPUO9zvhb3dCfY9yJ3rumGiRj2rwDo9uhdzPDGxGT6p9SM8O0iZPDzG8LyFAc-6R8AyvMse17x2YbU8DfwoO55XgT3AX6c8ioYWvNtXubw9WsE88kOlPFWPur2-OTc8F5klvO23Bj5Sh8-7vChVvIo-nz38uAc8gGxIvAUjpT3WAju-SeWaOmHeozyGPOK9WUlxu9ADRL0ZFNc8r8kiPFEiiD3w7z093cmMvFrjYr03w-29DEsRvAO9Jj00v_W8lFC4O0M0n7wKAwA9CRUgu2j27zyzKh29-jRdvDBmyzwqpw0-bpMouh3ejb1y22O9zUo7Ovji6z18lUE9Rf6yurHVijyNoTW7RplLu5WNjT3qN5i9hVVvOiMqOT2tJQ69JDZMO3--Lb0hV6o8cI4EuzJXJj245Ji9oGryt4JHZbyh2ys9csMjObO_Ir36kME8460fORr4VbsuvFy97z65OPyzVb13PbK9hRswuE3HkjzEWIu895CpuZm49rselOY8ox8RO2N0ar3gGWi9WW_9t3XZiT16HAY9CvhXucPdk7vaBLO932EMubzrbDz7Yd-880mTuKHlr7xUTRW9tRgxuN7_Jz2aE5o9GdsUuWrjYz2Wy2u9i6k3OQnfGz2Ejzc9XCn8uHxD4TwgLxo9rIekuITyADygeto8Tu9pt689mLwX9B6-_YqquKYuFL0n7kI9umgJt7jkKL7Rf4W8nfgauUDVzTwK4lE7Ag7KN6ck6z3pdRi64lpFuBlrZL1WxF-9ueslOMHjKz7cpWi8B4l0uQpcCL3iw5G9PKVYuCu0Pbzpmgm9nn1NtyBNq73ORIc9Zzw0OF6qSL066R2-tGP6uCL_7D01KQU-835buL8WCj2hb8E9_y-ctwnv_jrYXu47q6hIt85mGr0P7s68kCQ_tyAAOBNACUhtUAEqcxAAGmBEAgA89Sr07Aw16hbaBR7izRgAAdX8__W-APD9zt7n8ebdGRf_B8MD9qsAAAAx88QRDQD1c-zmvvkABBH5geH5FGsvB1jw3z0P-xZMHfj13BmyEQ4A2dqmGefrrgE1OvwgAC0_MSM7OBNACUhvUAIqrwYQDBqgBgAAwEAAAJDBAACAQgAAqMEAAABBAAC4QQAAdEIAAABAAABMwgAAwEAAAIhBAAAswgAAfMIAAKBAAAD4QQAAFMIAAMBAAAAEwgAAgEEAAIDBAABwwQAAFMIAAIA_AADQQQAAcMEAANBBAABwwQAA2MEAACRCAAAAAAAAQMAAAPBBAACgwQAAkMEAAIbCAADAwAAAAMAAAHRCAAAAQAAAZEIAALhBAABAQQAALEIAAIC_AAAQQgAABMIAABTCAADAQQAAKEIAAFRCAABYwgAAAMAAAHDBAAAEQgAAiEEAAEBBAABcwgAABMIAAGBBAADYQQAAAMAAAMjBAADwwQAAlsIAAOhBAADWwgAAgD8AAI7CAAAgwgAAZMIAAKxCAACWQgAAhMIAAOBBAADgQQAAAMMAAIjCAAAYwgAApkIAAPjBAAB0wgAAUEIAABzCAACIQQAA4MAAAEDAAACoQQAAbEIAAIBBAADIwgAAoMEAALBCAABswgAAgMEAANhBAACqwgAAuMEAAERCAACaQgAAQEAAACjCAACKQgAA8EEAAHzCAACAwgAAaEIAAAAAAABEQgAAwEAAAJBCAAA4QgAAKMIAALjBAAAMQgAAMMEAAIA_AABAwAAAQEAAAGzCAABcwgAAwMEAAATCAAAQwQAAIMIAAIBBAAAAwAAA6MEAAKBAAAAgwgAAMMIAAEDAAACowQAAmMEAAFxCAADAwAAA6EEAAERCAADYwQAA4MEAAJDCAAAQQQAA6MEAAFDBAACgQAAALEIAAKjBAABIwgAAEMEAAIRCAAC4wQAAYEEAAFBBAACAQQAAsMEAAJDBAADgwQAAFMIAACDBAABQwQAAyEEAAKbCAAAQQgAAAAAAAHjCAADQwQAA0EEAAGRCAACwQgAAFEIAABjCAAAAwgAAAEIAAJDBAACQQQAA2MEAAPBBAABcwgAA0MEAANBBAADwQQAAkMEAAOBAAAAQQQAAUEEAAHhCAABwwgAAJMIAAJjBAACAwQAAIEEAAADCAADAwQAAGEIAABDBAAAQwQAAAEEAAODBAACAQQAAFMIAAHjCIAA4E0AJSHVQASqPAhAAGoACAABAPAAA-L0AAKA8AACAOwAARL4AAMI-AAAwPQAAO78AAIC7AACWPgAAXD4AACS-AAAsPgAAvj4AAKa-AACoPQAAoLwAAEA8AAD2PgAAHz8AAH8_AACGvgAAdD4AAKi9AAAsvgAAUD0AAJg9AAAMvgAAqL0AAPo-AABMPgAA-L0AAHS-AACGPgAAqD0AADQ-AAAkPgAAXL4AAMK-AACovQAA0r4AAPK-AADgPAAAqD0AABC9AACgvAAA-D0AAN6-AACyvgAAyr4AAAQ-AACuvgAA-j4AADy-AAD4vQAA4DwAAF0_AADgPAAAMD0AAPg9AABQPQAA2L0AAPi9AAAwPSAAOBNACUh8UAEqjwIQARqAAgAAMD0AAJg9AAC4vQAAFb8AAEA8AADovQAA2D0AAFC9AAC4vQAATD4AAKi9AAB8vgAAED0AAIq-AADIPQAAUL0AAEA8AAAdPwAAUD0AAJI-AAA8PgAAqD0AAIg9AADIvQAAEL0AACw-AADgPAAAcD0AAIi9AAA0PgAAMD0AAMg9AABkvgAAqL0AAIq-AACAuwAAuD0AALg9AACGvgAAuL0AADQ-AAAsPgAA2D0AANg9AABAPAAAfD4AAH-_AABcvgAAqL0AAFC9AAAEvgAAgDsAAKA8AACgPAAAPD4AAKg9AACgPAAAEL0AAMi9AAAQPQAAML0AADA9AABwvQAAVL4gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=5qv8RmIpM_I","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3340836659935112710"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"885557281"},"14718136774652240418":{"videoId":"14718136774652240418","docid":"34-5-0-ZE0A592E646BC7026","description":"This is just a simple animation of Dot products. Hope you like it ^^. The dot product of 2 vector is always a scalar quantity. In this video The red and blue arrow are two vector sarrow and the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3962496/f25e85e109d991934cb6753daf7e185c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wojiBwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMbLgtT1Ba4s","linkTemplate":"/video/preview/14718136774652240418?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product vector animation","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MbLgtT1Ba4s\",\"src\":\"serp\",\"rvb\":\"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-v4CAPj8-gcBBv0BFAr8_PUCAgDxAwjyAwEAAPX3A__3AAAABwgF_QIAAAD3DwLx__8AAAsBAP_sAP8A__sA-fsAAAAPA_j-_gEAAOoBAQD2AgABDQkBBQAAAAAA_wMBBAEAAP_7B_4BAAAACAn7AwAAAAAgAC26iNU7OBNACUhOUAIqhAIQABrwAX_3D_-iBcv9C-kAAfwzAQGZIun_EhfPAO0uGv_r_tgACuQHANsE6ABB1NYAtOoYAEEX8AAvAzIAUd02AM74NAEH5PQACQIDAiAQTf0QAeH_BRsY_qnuAgIA5e8A1z_t_PY3-f4rBtX-8O_0BRgDIAEY_fX85xQ1AAoQCwP63R0As9ru-_QAIQEE-_b0I_80BQ_hIAD2HfT43wb_-zzcBAARA_r9J_LxADD3BvMdBA_00DIR8fjDEAEi6vICyRoaAt67D__rCQr5-OcF9u3lBgsg8uD8G0bpDgLpFAsM2OUA3ybz8eYyCgHOGQwSBv_5CCAALU78Czs4E0AJSGFQAipzEAAaYCz6AC_kOvH6MxPP_9jnHQHMBwAa9uH_97__Nx-50e0A9vnm-wArzQ3-qQAAACHf3AQMAOd27vXp6wcXG_q22xcUf_A-N6YLSEnuEyAB_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-MEAAMpCAADAwAAAwMAAAABAAAAowgAAIEEAAILCAADgQQAAKMIAAHDBAACAQAAAQMIAAJLCAAAwwQAAAEIAAGjCAAA4wgAAKMIAAMDBAAAAwQAALEIAAIhBAABAwQAATEIAAFjCAAA4wgAAwMEAAKDBAADgQQAAYEEAAIhBAABMQgAAnkIAAATCAACGwgAAjkIAADRCAACAwQAAoEAAADRCAAAgQQAAoMAAACBCAACowgAALMIAAFTCAAA4QgAAYEEAAKDAAABswgAAYEEAAPhBAAAQQgAANEIAAIpCAABUQgAAUMEAAEDAAAAMwgAAcMEAAJbCAABUwgAAwEAAAODBAABEwgAA4MEAAOjBAACkwgAAMMIAAADCAABQQQAAZEIAAK5CAABgwgAAAAAAABBBAAC4QQAAgEEAAEDAAAAwQQAAEEEAAAzCAABUQgAAgEAAAOhBAAAQwQAAgL8gADgTQAlIdVABKo8CEAAagAIAAMa-AAAwvQAAoDwAAJY-AAAMvgAAoj4AAFS-AAD2vgAAUD0AAOg9AAAkPgAA6L0AAJg9AAAsPgAAmL0AAIA7AABUPgAAQDwAAEQ-AAD6PgAAfz8AABy-AABQPQAA6L0AAKa-AADovQAAPL4AAMi9AACovQAABz8AAIY-AAD4PQAANL4AAI4-AABkPgAALD4AAHQ-AADovQAAgr4AAKC8AACuvgAAlr4AAOC8AABAPAAABL4AAEA8AABAvAAA2L0AALa-AADovQAAHD4AAA2_AABUPgAADD4AAOg9AACoPQAAVT8AAKA8AACgPAAAjj4AAOi9AACKvgAAgDsAAFQ-IAA4E0AJSHxQASqPAhABGoACAABAvAAAHD4AAPi9AAADvwAAyD0AADA9AAAsPgAAUD0AAOg9AACgPAAATL4AAIq-AAAMPgAAkr4AAIi9AACAOwAAuL0AAEc_AADYvQAATD4AAKo-AACGvgAAij4AAOC8AACgvAAAJD4AAOC8AAC4PQAAQLwAAPg9AACYPQAA4DwAAIa-AAAsPgAAhr4AAIi9AACgPAAAbL4AAES-AAD4PQAA1j4AAAy-AACuPgAAiD0AAOA8AACSPgAAf78AADS-AACKvgAAgLsAAAS-AADYPQAAED0AABC9AAAcPgAAyD0AAIi9AACYPQAAUL0AAKg9AABQvQAAVL4AAK6-AAAcviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=MbLgtT1Ba4s","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14718136774652240418"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"3950511951"},"3571834385983922275":{"videoId":"3571834385983922275","docid":"34-7-13-ZABFD86E39E5ADAAC","description":"Follow Along Notes: https://acrobat.adobe.com/link/track?... In this video, I give a (really) in depth description of the dot product. Dot products are one of the most fundamental vector...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4003023/ca76125638454da0ba6dd191c2baf5b6/564x318_1"},"target":"_self","position":"2","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DsOyBiDwTKWM","linkTemplate":"/video/preview/3571834385983922275?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Products | Vector Projections | Physics Peer","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=sOyBiDwTKWM\",\"src\":\"serp\",\"rvb\":\"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-f_2-gYDAAENBv8C9gAAAOUP_PgI_QEAAOgIAQMAAAAICAX9AgAAAPkH-vL2_gEADgD9A_sAAAANAQwE9QAAAA7_7AH_AQAA8vL49QIAAAAJBQQB_wAAAP8C_v_9Af8A-_8F9wAAAAAZCP8HAAAAACAALXZQzjs4E0AJSE5QAipzEAAaYC4NADP5CxHdGBntF-bpHQTyQBEO3PgA774ADBHc_vQV8tcc_P81wP3-uQAAACn_2w0JAAtaCfW5EQoIIA2z4QAPfwguICAKGw_yDC_zHATmF7ToFADB6-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-QgAAGMIAAKhBAACAQAAAMMEAABjCAAAgQQAAAEEAAPhBAACGQgAA2EEAAMDAAAAswgAA6MEAADzCAADoQQAA-EEAAEhCAAAMwgAAwMEAAARCAACIwQAAGMIAAJjBAAAAwQAAgEIAAFDCAACoQQAAQEEAAPDBAADgQAAAXMIAAIC_AACAPwAA4MAAABxCAABQQQAAFMIAAKBAAACUwgAAGMIgADgTQAlIdVABKo8CEAAagAIAAIa-AAA0vgAAmL0AABA9AACYPQAA1j4AAPi9AAAtvwAAoLwAAEw-AABcPgAALL4AAHA9AABUPgAABL4AADC9AACgPAAAgDsAAJ4-AAAVPwAAfz8AAEA8AABEPgAANL4AAO6-AACovQAAgLsAAIi9AAA0vgAAvj4AAJ4-AADgPAAAdL4AALI-AAAsPgAAJD4AAGw-AACgvAAAqr4AAOA8AAAHvwAAbL4AAHA9AAD4vQAAyD0AAKg9AACAOwAALL4AAIC7AACyvgAA6D0AALK-AACaPgAA2D0AAFC9AACIvQAAdT8AACy-AAC4PQAAfD4AAIK-AAAsvgAAML0AAGw-IAA4E0AJSHxQASqPAhABGoACAAAwvQAAqL0AAHS-AAALvwAAmD0AAIg9AAAUPgAANL4AACS-AACGPgAAML0AAAy-AACgPAAAfL4AAEA8AADgvAAAmD0AACM_AACovQAAsj4AAHQ-AAAwPQAAcD0AAKC8AADgPAAAcD0AABA9AADgPAAAUL0AABw-AAAMPgAA4DwAALi9AABQvQAAUL0AAKC8AAC4PQAADD4AAJa-AAAQvQAArj4AAFA9AACSPgAAML0AABA9AAB8PgAAf78AANi9AAAMvgAAyL0AAKA8AAC4vQAAND4AALi9AACYPQAAcD0AAKA8AADIPQAAcL0AAIg9AACYvQAAuD0AAPi9AABAPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=sOyBiDwTKWM","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3571834385983922275"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9842327348914924377":{"videoId":"9842327348914924377","docid":"34-9-15-Z4FF5285AB137E818","description":"The dot product measures how much two vectors point in the same direction. It changes based on the angle between them: positive, zero, or negative. ✅ Positive → Small angle 📐 Zero → 90°...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3709630/025eefcbae1c58214ff9baee30985de5/564x318_1"},"target":"_self","position":"3","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D5JQ9Qn1_Cbs","linkTemplate":"/video/preview/9842327348914924377?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Visualizing the Dot Product: The relationship between the angle of two vectors","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=5JQ9Qn1_Cbs\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TDoIEJAGABCsqiwEQARp4gfL6-wf_AgD69P8CBAX-AQEM7__2_v0ACwgICfgBAADz_QoI-wAAAAYF_fsAAAAA-Qf68_b-AQAODv3--AAAABD69QH1AAAAEvcF__8BAADxBPv9AwAAAAf7Bwz_AAAA__8J-QIAAAD6-APyAAAAAA__Aw8AAAAAIAAtI3_YOzgTQAlITlACKnMQABpgKRQAQA38-tj-Gdz14NoJDO4tAfDw9_8V9QD8AvH8AAXtzAkJ_zOsHfu5AAAAGAMIICoA0WEs4NkXD_QZ7sLW6xZ_EB8iFTAb6fTLSgkcLv35Cu5OAMwAzP__xQEgCiH5IAAtNLM_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_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-AABMPgAAuD0AAKa-AAAQvQAAdD4AAFC9AADIPQAAMD0AAEw-AAAEvgAAmD0AAOg9AAAQvQAALD4AAM4-AAB_PwAAcL0AAHC9AADYPQAAgr4AAEA8AAAMvgAAHL4AABQ-AAC-PgAAiL0AAMg9AABsvgAADD4AAFA9AACgPAAAPD4AAAS-AABsvgAAML0AAMK-AAAMvgAAFD4AAKg9AABQPQAAHL4AALi9AAAQPQAAgDsAAAS-AABUPgAAbL4AAI4-AACaPgAAcL0AAOA8AAAVPwAA6L0AAKi9AACGPgAAiL0AAAy-AAD4PQAABD4gADgTQAlIfFABKo8CEAEagAIAAKg9AABwPQAAEL0AABO_AACIvQAABL4AAIo-AACIvQAAJD4AAEw-AACgvAAA-L0AAFC9AAD2vgAAyD0AAIA7AAAsPgAAMz8AAKC8AADyPgAAhr4AADC9AAD4vQAAUL0AAKA8AAA0PgAAdD4AAHA9AADgPAAAQLwAAKC8AADoPQAAbL4AACS-AACIvQAAgj4AADA9AACGPgAAmr4AANg9AABEPgAAcD0AAOi9AADIPQAA-L0AALg9AAB_vwAAqr4AAMK-AAAwvQAALL4AAOC8AAAQPQAAkr4AAIY-AADgPAAAgDsAAIg9AACavgAAcL0AAFC9AABwPQAAoDwAAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=5JQ9Qn1_Cbs","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["9842327348914924377"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16874908634620070934":{"videoId":"16874908634620070934","docid":"34-0-6-ZA874E55C1754C482","description":"( • Vectors Spaces - The Definition - 3 problems ) ( • ❖ Vectors - The Dot Product ❖ ) ( • ❖The Cross Product of Two Vectors ❖ ) ( • Vector Basics - Drawing Vectors/ Vector Ad... ) ( • ❖ Volume of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3382634/5c580ea5c1719f8a35efde1eccbbcc5f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/g5sAwgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D98C7iv8OcnI","linkTemplate":"/video/preview/16874908634620070934?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Vectors - The Dot Product","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=98C7iv8OcnI\",\"src\":\"serp\",\"rvb\":\"EqoDChMzMzQwODM2NjU5OTM1MTEyNzEwChQxNDcxODEzNjc3NDY1MjI0MDQxOAoTMzU3MTgzNDM4NTk4MzkyMjI3NQoTOTg0MjMyNzM0ODkxNDkyNDM3NwoUMTY4NzQ5MDg2MzQ2MjAwNzA5MzQKFDEyNjA2MzQ1NzExOTg2MjkwNzE0ChM0MDc4OTEwODY5MDc0MTA2NTQ2ChQxMzYzMzU5MTU5NDgwMDYzNDAyMAoUMTQyNTIwMDc0MTAxNzk4MjYwNzEKETQxNjQwNTczMzQ3Mzk3MTM3ChMzNzQ0MjEyNTM0ODg5ODExMDE1ChM3NjkzMjc2OTIwMzA0OTk5NTM3ChMxMzE2NDQwNjkyMjA4NjMwNjQ4ChQxNDgxMTc0NjAzODAzODMzODUzNwoTMTc4NzQ0NDExMDQ0MjIyNTU5MQoTNTU2NDU5NjEzNzgyNTMzODc0NgoTNjY5MTg4MDY1Mzc3Mzc1NjAzMAoUMTc5NjIzOTY4NDgxMDA5MTMwMzIKEzgxOTc1NzE1OTUyMjI4NjUwODkKFDE0MjgwNDIzNzU1NDMxMTQwNTMwGhYKFDE2ODc0OTA4NjM0NjIwMDcwOTM0WhQxNjg3NDkwODYzNDYyMDA3MDkzNGqTFxIBMBgAIkUaMQAKKmhoY25hcXdneHRvbGZ4eGNoaFVDRmU2amVuTTFCYzU0cXRCc0lKR1JaURICABIqEMIPDxoPPxO-A4IEJAGABCsqiwEQARp4ge4B-f38BQD7AwMOCgj7AgIMAP_4__8AAwoDA_4D_gDzAAAG_gAAAP8GAf8FAAAA9Az6-QIAAAAKAQD_7QD_AADyAAH5AAAABPn6-f8BAADuCAL6AgAAAA0IAQUAAAAA9wML_AEAAAD_-wf-AQAAAPv_-gUAAAAAIAAtcYbeOzgTQAlITlACKoQCEAAa8AF_ERP-0tnKAMj21ADoDdUBhAos_zU93__d_Bb_1MzDAdjvzP_p6REA4R4T_9co3QAm69f_7unrACXyBP8l7wgA5C4pASfT8wEw_BkB8esF_t3uFgDa3SP_4N3N_vYU4P4I0Rz-EAfqAu0DwAIm-y8BFB8IARj0IwLcrv0B1QgUA_f4xf79JN7_DPEV_sH2BwUDCfcHCeoT-skh6v8X4v_-6eIK9A4TzwA-4xgCDCkFCMEMAwj1CwjzCRsRBdb28_Xm7xn438L2-hHYDPP64QL1CfvgCggJ2gwV2hP7Atj48gYCAPvIEwQC9uH1Auj96wQgAC0dRhA7OBNACUhhUAIqzwcQABrAB3EgzL7UPRy9Bi9VvAoHzL1XDxS8NIUOvcyll71xqvU8PTyVPB5P6z3an4W9czO3vBx4db5qfBA9fDjSPCb_8z3xBbe9oGUnPHoXL74IPDA9KZ_UvLeyJL4pFcM8RNBivPfznD0C9Du9S2EUvanB1D3qqDQ87UqmvH3KAb6aP6Y8_7gYvEPn9b1_th-9WiIBvedazzzL9Au9kfUvPWDnJj4N0w298R7xvCN8hD05WcQ9o5X7vF0eRrwQBp48YZktvQ_8jj38jCs93yD1PPRhB73DDYi9Lp2FPBqNl7wEd3s9q4sFPS3hmrzLXKo8-gZLvF1OLj0xA_q8rXesO22s5L2mES49lE7BOxsqmz1YnUY930wvu088B70Neco9h2DmOwXznD33eAE9lruFvNOG4z3Mdmo91nS9PBq4zbxnKVk9vdUEveQ7xjuM9wM-vyzIPMO6ET7OkbC8faeTvFOpvjzBq4a77EOHu9l4MLyF7SO7S502vF2nUT1Vl508TYOiPCGNLzyqR5o8vM9xPMU1Qz34UQ2-CW8su5iBr7yPwrq9q74pPIpknj0gLhQ9eGa8uvYFqT3BvNG8b3zxu96sAT0s0pm9pvSKu74KWj3XJ8q8RQdqO_ggH72DjBs9vPpCvLlKgbzScCo97N8zuw-peD2oMIs9GDBUu5-muzxR_LO9lwabOzEERT0vZx27euxtOkBr3j0KQ4m88m3lucysLz3FvbO9uqHGOmSrsLyW54a9iOTYusd4fr1gh7u8MeZIuKGd0z1RgZi9l51ROf63kjwGXAE92x0sOPubS737qAs9avTDOaeHUj05uV-9rEGGuMui8LxbQh6-NwXjOZ-J2Tswp189lcngOKnTKrvAXmE83VtrNn4zNr2kUJa9LoOjt_9bSbxuXaC8_TKKOV8h2DwztRm8oTdnOEjFf7wzjIu9VN-HOXEHRb1nJCe9Qh_cN3h9Zjw7VPM9UxwoOFqvgz0Bj8O9ptFaORDjmjwmuvg8hWPQOAAjAz0O29Y9Pk-MNyNhhDy6Z709JV93t95Z-zzY8Z-9GA2XOKUl4DxBsfo8QDvTuFifzL2mLjQ9g38sOSemJj1p8p68ZDxVOMhKZz3cJ6w8s6H4NfqwI70o8LG70HPEOC-mGT54O8w8_OYbuVTF1L3_e0u9GFFXts5yNLxdD8u9qHCbt9psob2N5rI9IXQJOLMxBrsIr729HH2mt4qWVz0QWPk9jRdAOGCamDxbmvs9hK39uNoROL0tK6g89CIkuHLsv73Iq3g9F9mNOCAAOBNACUhtUAEqcxAAGmA8AgBD6xnuIgMoAA7a_hAD7hUHAur5_wPQAPMYz_IB_NzRB_L_DrMt5qsAAAAywub_AADpagrZ7hP9FQjzl98YH38eImLE-z8IItNOM9_i1hrZBjgA3f-zGf3UuPAbHg8gAC1qkSc7OBNACUhvUAIqrwYQDBqgBgAAREIAAOBBAABIQgAADMIAAHBBAADwQQAAskIAAJhBAABEwgAAREIAAJhBAAAEwgAAKMIAAMhBAABwQQAAqEEAAAxCAACgwQAAiEEAAIDAAAAgwgAAjMIAALrCAABMQgAADMIAAGDBAACAPwAAQMEAAMDBAACIQQAATMIAAIC_AACewgAALEIAAITCAAC4wQAAoEEAAHRCAACIQQAAFEIAAKpCAABQwQAAGEIAAATCAADYQQAAnsIAABBCAABMQgAAMEEAAFxCAAAcwgAAgMEAAIjBAAAIQgAAgD8AAHhCAACowgAAoMAAAIA_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-AADgPAAAF78AAIi9AABMPgAATD4AAIC7AACYPQAAfD4AAMi9AAAMPgAAEL0AAFA9AACKPgAA5j4AAH8_AACYvQAAVD4AAEC8AAA0vgAAMD0AAAS-AAAMvgAAqL0AALo-AAA0PgAAQDwAAJK-AABUPgAAiD0AABw-AAAcPgAALL4AAMq-AAAUvgAApr4AAI6-AABAvAAAEL0AAHC9AACAuwAAED0AANi9AAAMvgAAjr4AAIg9AABsvgAAdD4AABA9AAC4vQAAMD0AAFE_AACgvAAA2D0AAPY-AADYPQAAoDwAAEA8AAC4PSAAOBNACUh8UAEqjwIQARqAAgAAqD0AAFw-AAAQPQAAJ78AAAy-AAC4vQAAmj4AAMi9AAD4PQAADD4AAIA7AACevgAA-D0AAHy-AAAQPQAA4LwAABA9AAAfPwAAED0AAJI-AABAPAAAyL0AAKA8AAAEvgAAML0AADQ-AABwPQAAUD0AAMi9AADoPQAAcD0AAAQ-AABMvgAAUD0AAGS-AACgvAAA-D0AAKg9AACGvgAAUL0AADw-AADoPQAAmD0AAAw-AADIvQAAND4AAH-_AAC4vQAAFL4AADA9AACAOwAAiD0AADA9AABAvAAADD4AALg9AACAOwAAED0AANi9AABAvAAAmD0AAAy-AAAkvgAAML0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=98C7iv8OcnI","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["16874908634620070934"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2198591940"},"12606345711986290714":{"videoId":"12606345711986290714","docid":"34-8-10-Z4249D3E1FD2629A5","description":"Vectors and normals are extremely important for CG production. These data types support several operations, one of which is called the Dot Product. The Dot Product is one of the most useful...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/877395/75f612b3b5f44e765c90ac51ed689d5f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7h8uXQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Ds7UbQUUy58c","linkTemplate":"/video/preview/12606345711986290714?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Fundamentals - The Dot Product","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=s7UbQUUy58c\",\"src\":\"serp\",\"rvb\":\"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_E9cGggQkAYAEKyqLARABGniB7gH5_fwFAPz5BgcCB_wCEgIE-vYBAQD2B_z__wL_APz_BwMBAAAABQT-Cv8AAAD5D_4K_v8AABUP9gcDAAAADPH9__oAAAAGAwT6_wEAAPcEAvgCAAAACAQO_P8AAAD3Awv8AQAAAP_8AwoAAAAA__n-CgAAAAAgAC1xht47OBNACUhOUAIqhAIQABrwAV0QEf3vz94CqBb8AN4v_QCm9yf_LS0MAOn2AQD64M0B0g7lAAL81wDj_O_-gfL_Atj6Av8nGgQATvkf__vi-gDZEtEAFNwEAjwA_QDb_hn_AzYYAQr7CwAw9ewAEPIP_hcAE_7rAu4D09jIBu8nGQHo6gcEJe4AAdojHgbzKBYE1_AC_e0D_gTy9BAA5NclAw0R2_86CdkA7TMA-vYTDAQuAQYEBBcrAwcfEfrA2hIA0xb5-Pzi9gYI4BP88wAGAdQUCPQP2wTxBiAI8AoL9vnsHvgBMNcCB__iAfTNAggA2iAL9OYQAwcJAgT3_933CyAALcpEGDs4E0AJSGFQAirPBxAAGsAHKSDNvp2MAD2KQga9Wb-ZPEMw9bq84i49jtm4veIQIL1mUEi9zhpsPkYVlD3zIaS72NR5vgUESb3zhgW9_b10PpJUS70Dsew8ye5dveJ-9jwY1ki9R48Pvm2kkTxoOMo8NBpvvSlNdD1vqA49GxBRPiPue71VtIO8TFTPvRHuxLzDxFU8G7opPrKyJ73vuUK9cqa5PWu8bz2bwYS86-CwPX94jLx8FU-8cPGLvOzYjLpDIsg5hViSvYwBaL10P0w8UpCpPL93AD0hG608ei-TvYZ2nr0_s9o8VadevGgrJT34mUS8uKSUPSCFBr06Pc67SsTFPZfTFL0wY4q80CpDvphzn7wPqIg88IsLPvM_s7viOsY7p3chvlG2LT2v06M6l0dIvIXDPL2MrVY89DTgPTiTwD13AlA8PJQyPErfmjyea607Uxp2PRillbqahWo7slW4PMUvhrzvEge8zz6QPVz6_DwqH8K8c-lJvQNtPDtROzK8qnMWPQSeKj189MQ7FOeNPMazGr0nFCC8YGeEPfkRv709axI8gAEOPe4YmL3DeZ284OmfvDo4vT3m5TC8FZBWPb9elr3dQ8K7fehCvfA7HL39jfc5kR5QPCDckzxI1is8tyjzvSaVBL3BqGa7_izWvGFcoLzzvju8J4QOvGpYgr35tK-78HiZvWt2Lr1EHvs7tfWYPTmCr7x5GAO7E1hKvZ1VVb3nNTi781nePW727Dz6gZy4XniPvbvXZD04mm46QGmoO5Nx7D0SRDq5mE1APuviNjybGna5YxvCPXrQgTs4aiu57NMbvdk7SDzWwuw2sUNKu8AxhT0cU6A5XFQLvZwV8b3cnnU59iOFvNpIKL0nuY45r9MDvQgUWrttWR0501LUvHpBurwnfhS6TqixPAUgJLx7Y6O5rq__POpCrDpzwt23SMV_vDOMi71U34c5SmHeu2y3eL1TY8M5QZR5PCLCnrrKP0w3cAorvXE5nrzLPoW4RZzvOz3R1T3iCUe5OigcPTwLp7x8Wlq2g7jXPBl_EzwLRZQ4UkjPuz48q71PsuQ4sYsBvPTFyT0l-R05Q368vZtGSbx4S8g3Klj3uKwJOL22cms3t8Q7PT_ekLxR34U4EcOjvZ1Vlbxh3Zg3mUrfPYBz0DxUuL64Ip0LPSSbq733DRG4U5OgPMOWQz0MIEq3xPXBO-4OJD2H-c23bXIYPmGkF76n-N646htBu6apxD3sQZc4KqqOvSYNP72NjH23MQdBvVYeDTzX3602lvKlPWWbabuo0_62IAA4E0AJSG1QASpzEAAaYCsAADsEDNPoHh_k8cLuGMO2_vQr6-z_-NMA-QTBDvbo5bf_-_9HzjXsqAAAAC8t-D_5AAxvEPLnEMwSE-jH9wvqf0MGTMEw_AzquksX1-fk-rkSLgDp6dIU6PulBCw5JiAALdiKIDs4E0AJSG9QAiqvBhAMGqAGAADQQQAAJEIAADxCAAAEwgAA2EEAAPhBAAAgQgAAQEAAAGjCAABkwgAAMEEAAGzCAACgwQAAMMEAAFBCAADYQQAAcMEAABDBAACowQAAoEEAAIBCAADQwQAAJEIAAARCAACAQQAAYMEAAAjCAACIwQAA-EEAAEzCAABMwgAAcEEAAFzCAADCQgAAoMAAABDCAABQQQAAQEIAAExCAADgQQAAcEIAAHDBAAAEQgAABEIAAEBBAADAwQAAgEEAAOjBAACIQgAASMIAAMDCAACAwAAAmMEAAFjCAACAQgAAvEIAAIDCAADYwQAAgD8AAPhBAAAAQQAASMIAAKBAAABwwgAAAEIAAKzCAAD4QQAAUEIAAOhBAAAQwQAALEIAADBBAADoQQAAgkIAACTCAADgQAAABMIAABRCAAAkQgAARMIAAJjCAAAUQgAA8EEAAKDAAACowQAAiEEAAEDBAABAwAAAMEEAABRCAADAQQAAAMEAANDBAADOwgAAoEAAAAzCAABgwgAAcMEAAEzCAADgQAAAAMEAAChCAACCQgAA-MEAABzCAACAvwAAyEEAADBBAACAQAAA4EAAAPBBAAAAwQAAcMEAABDBAAA0QgAAcEEAANBBAACgwQAAAEEAAJhBAACWQgAAKMIAAPhBAADgwQAAJMIAAKhBAADgwQAA4EEAADTCAACKwgAAHMIAABDCAACgwAAARMIAAIC_AADoQQAAhMIAABBBAAAIQgAA0MEAAABAAABAQQAAuEEAAIBBAACSQgAAiEEAACDBAAAAwQAA4MAAADxCAABIQgAAEMEAAEBAAABAwQAAAMAAABDCAACwwQAAbMIAAADAAAD4QQAAiEEAAJBBAADwwQAAhkIAAKjBAAAYwgAA4MAAAKpCAAA4QgAAYMEAANDBAACUQgAAuMEAADDCAAA0QgAAMEEAAGBBAAAUwgAAsMEAAHhCAACgwgAAwMEAAKDCAADgwAAAmEEAAIxCAADIwgAAfEIAAGRCAABcwgAAEEEAAIA_AAAAwAAAMEEAAJLCAADgQQAA8MEAAABBAADowQAAcEEgADgTQAlIdVABKo8CEAAagAIAAJi9AAAsvgAA6D0AANg9AAD4vQAAJD4AAFA9AAADvwAAUL0AAII-AABEPgAAED0AAEA8AAAsPgAAML0AAJg9AADIPQAAED0AAMI-AADKPgAAfz8AADA9AAD4PQAAyD0AANi9AADgPAAADL4AADS-AABAPAAAgj4AAHA9AACgPAAAcL0AADA9AACSPgAAqD0AAEA8AABkvgAAjr4AAKg9AAB8vgAAHL4AALg9AABAvAAAoDwAAOi9AAAMvgAAEL0AADy-AABEvgAA4DwAAFC9AABcPgAABD4AAHC9AAAwPQAAHT8AAJi9AACoPQAAVD4AAFw-AAAEPgAA4DwAADA9IAA4E0AJSHxQASqPAhABGoACAACoPQAAyD0AABS-AAAzvwAAFL4AAJi9AACOPgAAQDwAAAQ-AABsPgAAuD0AAPi9AACAOwAAqr4AALg9AABQvQAAmL0AACs_AAAsPgAAAT8AANi9AABwvQAAQLwAAOC8AAC4vQAAMD0AAEw-AAD4PQAA4LwAAHC9AABAvAAAED0AABA9AADgvAAAJL4AAOi9AAC4PQAAUD0AAHy-AAC2PgAAFD4AAPi9AACYvQAA-D0AAIi9AAAUPgAAf78AAFy-AAAkvgAAqD0AADS-AAAwvQAAmL0AADy-AACePgAAuD0AABC9AACgPAAAED0AAEA8AACYPQAA4DwAAGS-AADYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=s7UbQUUy58c","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1152,"cheight":720,"cratio":1.6,"dups":["12606345711986290714"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2959231457"},"4078910869074106546":{"videoId":"4078910869074106546","docid":"34-7-4-Z4009492EF5DCDE0E","description":"#DotProduct of #twoVectors #animation #physics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4754636/4dbe67604784b56f62bbc77ea3130301/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/o5-GzgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRYDX1C1vFHA","linkTemplate":"/video/preview/4078910869074106546?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot product of two vectors animation #shorts","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RYDX1C1vFHA\",\"src\":\"serp\",\"rvb\":\"EqoDChMzMzQwODM2NjU5OTM1MTEyNzEwChQxNDcxODEzNjc3NDY1MjI0MDQxOAoTMzU3MTgzNDM4NTk4MzkyMjI3NQoTOTg0MjMyNzM0ODkxNDkyNDM3NwoUMTY4NzQ5MDg2MzQ2MjAwNzA5MzQKFDEyNjA2MzQ1NzExOTg2MjkwNzE0ChM0MDc4OTEwODY5MDc0MTA2NTQ2ChQxMzYzMzU5MTU5NDgwMDYzNDAyMAoUMTQyNTIwMDc0MTAxNzk4MjYwNzEKETQxNjQwNTczMzQ3Mzk3MTM3ChMzNzQ0MjEyNTM0ODg5ODExMDE1ChM3NjkzMjc2OTIwMzA0OTk5NTM3ChMxMzE2NDQwNjkyMjA4NjMwNjQ4ChQxNDgxMTc0NjAzODAzODMzODUzNwoTMTc4NzQ0NDExMDQ0MjIyNTU5MQoTNTU2NDU5NjEzNzgyNTMzODc0NgoTNjY5MTg4MDY1Mzc3Mzc1NjAzMAoUMTc5NjIzOTY4NDgxMDA5MTMwMzIKEzgxOTc1NzE1OTUyMjI4NjUwODkKFDE0MjgwNDIzNzU1NDMxMTQwNTMwGhUKEzQwNzg5MTA4NjkwNzQxMDY1NDZaEzQwNzg5MTA4NjkwNzQxMDY1NDZqhxcSATAYACJEGjEACipoaHJlbXlpbXdnZndiZGZjaGhVQ1pqT2ZkT2lzVGJfdGZXVlhOaE5FdUESAgASKg_CDw8aDz8TNoIEJAGABCsqiwEQARp4gfMN-v38BQADAAUHAQj8AvEK-PL6_v0A9A739QMBAAAFBAEK-wEAAAn9-PwDAAAA_QYB-_r-AAAF-fsK8gD_AAPz_vX6AAAACvn__QABAADmBQb2AgAAAAgEAgoAAAAA9wML_AEAAAD-9gkFAAAAAAAAAgYAAAAAIAAtU2bdOzgTQAlITlACKoQCEAAa8AF_wh8CA8bIA-fg9wC-T-YBljYr_xAKsf_VL0f_s-bZAR_dGgH5D-oB6O_W_70B6_86IgT-Eess_1rdDAD_ANQAx9L-ABTv_QEsPy3-NAvy_vAnC__-2ycBBObUAAAv9_8KDOv_7ejM_v7gwQBEDzUA_hvpBbYPGv0S6QMA4hkTA9700fz3AO8F-Sb19egaRQEOxRX9NgcY_PbsDv04Mf7-LgHdBvL16fs4D80D2u8T-OsuEfUQngz-_vb7_MMdHQIgBygAqREM_eL0OezoEvYH5PPr9DUi5wQ5Dx0LDgDy-_8I9OzjNwsB6QoNBxoT6gsgAC2eUfs6OBNACUhhUAIqzwcQABrAB5F7kr6CXL27gr4-PPoN072QeMM8bHAHvVGH9b3Xl4Y9hadhve6yvz23sFM9VjVXvc0hKb6B_4K9DpMfPY9xFT7ALru6a2kJPe_lTr4QqEM9GKzAu6bUBb4_TKm6BWaqvJUspz3Sypg8EkJRvDBHzzw4uo-98icqPKE38DwT3MS6LXAiPJfUnjusW5i9odCXvJV_DT6ipFa9sVVdPHcx7T2PACm9dpYRPKXb0j07XCa9g0zXPM1Qwb3mN1E9fjqaO8dMAj5IDCw9XhwLPXcfNrwaEZE9HDoivEYmoLzbTwa8KahROzbsMj0ADQU9xNI7ve5lET3n2ZE8Clc0uxR7WL5Ztwu9JUgbvPB_bD1mqcA95WUJPEhRF74bNE88swxxPLixmTxhBwQ9utt1PI4gVT57SN28L6fCO-lrET1NGn68TPIOPCTRDbyZaCs9WJBmPCnBLDwbTEM5zSeCO9xhOLyzVVM98_sCPHYt67zjrCO9qEurPM-aZD32UVy9e-uuO8QdlLwbuR4-0gyYusU1Qz34UQ2-CW8su8GQlT0_sbm9w0flOmo2DTyfeyo9McltvNfTGL3lkk-8M5OevHhilr0v1fG8XeIGO9-uETxMqeu9vd3UO72pKL15UaU9ULpyuvxlQbyF7Nm7h0I6vCQcRD0amAm6W-TtOYrVVTzs3xU9B1CdO2LfqTzTrng8tXdbu0IyU7yYtR49S_qkup00CD2jsTY91InkN2nMP73QYzS9yI-duh4OfD1Mpoo8-yHlOaqCoT0aGJm9R0qgOHjypL1--H49OScgudKJhD3p8gY-skiFOePi6LwVWIu9ekuyN_8jQ75mZ9G9PPKQOed-e7uYyOA8ZZYLuX88ur366US9JEInOSgGjju52q88RIzruPHtkr33Gcw9iV2WuNWkBT0yuQe9Y9GZOJ9O4DtG9bG8FKcstxacJj1995i9xS6ZN3h9Zjw7VPM9UxwoOC8Ulb0rNBC9N-LTuBvyrz2vSa28-32FuOWOSDwJjiY86VuEuCz3Xb211Gu92GFWuLg-rLxsBvi9ef8guMWPgb0vRZM9oCQhOSL7AL7GXyQ9F5hlOKTCmD23P907gQP_OPinFD4D-k49H_TtNqKUFLwp5sG7Pkg4OIJVRT50yDc9ydyEuVTF1L3_e0u9GFFXtpdTt72kJFq8YQicuPsvoT26EBC9wceKN4YQIT1cd9O93vObt__Naz2pekM9ykWnOLXPub2yQYs8AsE_uCNozL0NAfo7bwYGN8XdRb3_q9C6poM8OCAAOBNACUhtUAEqcxAAGmBG_gBZ7ED9BiAQ2wfFwy3i2BLyLAPg_-rP_-8EqN8PEPbx5gb_Jb8A7J8AAAA55b8NPgDTf_Hb8QkDGyrYvdgkBG8HGkW_FFEtGPAuAhb70_K6GTQA6OejNeX6oidCaQ0gAC2Z4BM7OBNACUhvUAIqrwYQDBqgBgAAkEIAAGDBAACIQQAAxMIAACxCAACQQQAAukIAAGBBAAAAwQAAqMEAAMBAAACQQQAAUMEAAKBAAABwQQAAGEIAAIBCAABgwgAAMEEAAFjCAAD4QQAAgL8AAMDAAACgQQAAgMEAALjBAACAwAAAgsIAABBCAABgQgAARMIAAMhBAAA8wgAAGEIAAAjCAAAAwAAAyEEAAKhCAACwQQAAUMEAAKhBAAAUQgAAWEIAACxCAAAEQgAAGMIAADRCAADAQAAAEEIAAPBBAACowQAAwsIAANDBAAAEwgAAQMAAAOhBAAAAAAAAoEAAAHDBAAAoQgAAQMAAAKDBAAB4wgAApMIAADBBAACAwgAA4MAAAEzCAAAcwgAAwMEAAHhCAACgwAAAjMIAAAxCAABYwgAAUEEAABzCAAAAQAAAPEIAAHDBAAAowgAAlEIAAIA_AABsQgAAAEEAAAjCAAAgQgAAqMEAAIRCAAAgwgAAAEIAAAxCAAAUwgAAIMIAAETCAACIwgAAMMEAAGjCAACqQgAABEIAAKjCAACYQQAAYEEAAADAAAA4wgAAoMAAACTCAADgQQAAIEEAAExCAADwwQAAyEEAAKjBAADQQQAAgMAAABBCAACYQQAATMIAAEDCAACAwQAANMIAAFDCAADowQAAoEEAADDCAABowgAAwEAAANDBAAAcwgAAaEIAAIDBAADQQQAAgEEAAFhCAACwwQAAqEEAAPBBAACgwAAA4MEAABDCAADIwQAANEIAAKBAAADAwQAAMEEAAHxCAAD4wQAAOMIAAOhBAAAwwgAA4MAAAIDAAAAwQQAAAMEAAEBCAADgQAAArMIAAOjBAADowgAAEEIAALjBAAAcQgAAqMEAAPjBAAAAwgAAgEAAAFBBAACQQgAAgkIAALBBAABwQQAA2MEAAPDBAACKwgAASMIAADjCAABwwQAAbMIAACTCAADQwQAAkMIAADzCAAAAwQAAgEEAALJCAABgwQAAOMIAACDCAAAQwQAAoEEAAOBAAABwwQAAhkIAAEBAAAAAQQAAJEIAANhBAAAAwAAAMEEAAFDBIAA4E0AJSHVQASqPAhAAGoACAABQPQAAqL0AADA9AADIPQAAgr4AAI4-AAAMvgAA-r4AAIA7AACmPgAAbD4AAKC8AABcPgAAmj4AAES-AADIPQAAXD4AAPg9AABUPgAAvj4AAH8_AADIvQAAML0AADQ-AACyvgAA-L0AADC9AACmvgAAqD0AAKI-AAAwPQAAqD0AAJK-AAD4PQAAEL0AADA9AAAMPgAA4LwAALK-AACivgAAkr4AAHS-AABAvAAAFD4AABS-AAA8vgAAJL4AANi9AABQPQAAcL0AAKo-AABUvgAA2j4AAIg9AAD4vQAAUD0AAFk_AACoPQAABD4AAII-AACIvQAANL4AAHA9AACYPSAAOBNACUh8UAEqjwIQARqAAgAAqD0AAJi9AACAOwAAEb8AAIg9AAAQvQAADD4AAKi9AAAwPQAAhj4AAKg9AADYvQAAfD4AAIq-AAAMPgAAqL0AAHA9AAA7PwAAiL0AAKY-AAAUvgAAmL0AAAQ-AABwvQAABD4AAOg9AABwPQAAML0AAKg9AADoPQAAML0AAMg9AABcvgAAiL0AAEA8AAAwPQAAEL0AAHQ-AABsvgAAUD0AAEw-AADgPAAA4DwAAEA8AACovQAAgLsAAH-_AACAuwAATL4AAAS-AADIvQAAqL0AAGw-AADIvQAAED0AAIA7AAAwPQAABL4AAIa-AACYvQAAMD0AAKC8AACAuwAAmL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=RYDX1C1vFHA","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1276,"cheight":720,"cratio":1.77222,"dups":["4078910869074106546"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1369997411"},"13633591594800634020":{"videoId":"13633591594800634020","docid":"34-10-0-Z1D2BB6B4095D0392","description":"In this video, the two types of Vector Multiplication ( Dot Product and Cross Product ) is explained in detail with Solved Examples. Multiplication, where the result of the multiplication is...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/877395/99856fcdb17b8946878e5187690eb7a8/564x318_1"},"target":"_self","position":"8","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlwPeXAhCwUs","linkTemplate":"/video/preview/13633591594800634020?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product and Cross Product of Vectors Explained | Vector Multiplication","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lwPeXAhCwUs\",\"src\":\"serp\",\"rvb\":\"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-QcIAgj8AhUK-_z1AgIA8w729AMBAADz_AsI-wAAABABAPoFAAAA6wf99fQBAAAQBQkA2QD-APz7Af_wAQAACgfz9f8BAADi-vz2AgAAAAQEBgb0_gEA-fkA9AAAAAD78Af7AAAAAP8I_v__AAAAIAAtdlDOOzgTQAlITlACKnMQABpg-RkAShsOAuwtMPf46OcONuUHDuzrD__vuAAKH-vZGeH86_78_xmzEt-zAAAAFenWDyUABFkK5sf8AOQK17n2BSx_FTwv-RA7-AcnFRQN6NTy6eEmANz2DBb6yb39JvgKIAAtaLs_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-EEAAAxCAAAgQQAAwMAAANDBAADYQSAAOBNACUh1UAEqjwIQABqAAgAAzr4AAOA8AADIPQAAiL0AAIi9AADoPQAAgDsAADW_AAA0PgAA6D0AABw-AACovQAAjj4AAFQ-AACovQAA-D0AADA9AABAvAAAij4AACk_AAB_PwAAoLwAAK4-AAD4vQAApr4AAEA8AABQvQAAcD0AAGy-AACuPgAAhj4AAEC8AACKvgAAij4AAHw-AAA8PgAAmD0AAJi9AAAEvgAADL4AAL6-AAA8vgAAgDsAAOC8AAB0vgAAHL4AAIA7AACuvgAApr4AAK6-AACgvAAAhr4AADQ-AAAEPgAAqD0AAKC8AABHPwAAyD0AANi9AAC-PgAA2L0AAOi9AABQvQAAtj4gADgTQAlIfFABKo8CEAEagAIAAMi9AAB8PgAA2L0AABm_AAAMvgAAHL4AADQ-AADYPQAAED0AAEw-AAAcvgAAXL4AAIA7AACSvgAABL4AADA9AADIvQAANz8AAMg9AACmPgAAbD4AABS-AABwPQAABL4AACy-AAA8PgAAqD0AANg9AAB8vgAA-D0AADA9AACYPQAAXL4AAIg9AACWvgAA-L0AADA9AAD4vQAAir4AAKg9AAAMPgAA4LwAAAQ-AABQPQAAiD0AAJI-AAB_vwAAur4AAKq-AAAUvgAAUL0AAFQ-AACoPQAAgLsAAGw-AACYPQAAcL0AABw-AABQPQAAED0AADC9AADYvQAAlr4AAES-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=lwPeXAhCwUs","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13633591594800634020"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14252007410179826071":{"videoId":"14252007410179826071","docid":"34-1-13-Z339B139B37E7AAC6","description":"In this video, we are going to discuss some questions on dot product of vectors. Control Systems : • Control Systems Biomedical Instrumentation And Measurement : • Biomedical Instrumentation And...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3010944/a6698f2a7946147ad4ee54edb9c618df/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VgYW_wEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZ8nvGehGBsg","linkTemplate":"/video/preview/14252007410179826071?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product | Questions 3 | Scalars And Vectors | Basic Physics","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Z8nvGehGBsg\",\"src\":\"serp\",\"rvb\":\"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-wsLAAAA8AP2-fsAAAAO_-r7AwAAABP59AHzAAAAAfj0__8BAADkAf0ABAAAABcEFQIAAAAA9fsW_P8AAAD6_wX2AAAAACL-CQsAAQAAIAAtV-i5OzgTQAlITlACKoQCEAAa8AF_6A4A5e7PAej-EgDWBQUBxTIMABEV0wC68QsAwOrgAe4-6gDtA-__4gA8AO4k9AA-9sv_-tACADzo6P8W7-EB-yD3Ad7x9wBZBh0A6vT7_80FHP_r4P3_EPTrAPklC__65fz3HBzL_uAt7AMP_j0BDggWBP_iIgPxxwf_9tj8AvfW8AIFCPYA4_Uc_OH1LwcS2-78AO4E_uUE8gEI1gr8DtgM_Agt1v5C-PUAGO35Aq0C_AP06uQJCRoQBN0l5f7m4h3_uA4K_ewhCgMf7wX31RD8AAnv9Qgc8fkNCCAB_QfQ7fHZD-8K7QrrBgoD7vkgAC3RQhc7OBNACUhhUAIqzwcQABrAB2ND774Pwae804CDO5wBibzj1Ji8OO1uvZ61W70PX2s9R_r-PNSBDD5SvYC9AtLAu4v7z71urpA8nVPiu_29dD6SVEu9A7HsPHV0_L0vE5o9CwIQvReho70Z9K880wUrPIwilb32ukC9FpcUvaDi2D1hPJ68xU-IvGJRLL1kUqg8qJZjvNxqGTr1EVi9E3xYvRNctLsxzA69L_rIOwtVGz3kn_y7ONTWu7PNcj1B-4c8CvfKvKYQg70fACc9Mxv_vC_i1jzO3Kg9MMehPEQgvb20YD29W9VHOVnwrLxdtYC7cov5PKxjCz0NBjI8WuybvHhnijvTiBm9BfnZvJfkML5Ebyw97IJmvK9duj2N64Q8lXf6PNJXm73dSFQ9GvQtu-x9VD1e97G9lXyRvGAhEz0b3IE9TojOO0F-dj3yHzk7nQgsvC0OH7xVVi49EEIbPVPKoD0sd1C94rEbvA4lxD08sgO9_70fOgwYKb1qxr08FqS6OxoppTw47hk9mVupuwE3Zr1ureU7xJ5RPN9mxj05tfO9hx8YPApCg71sv7u9DIPoO2Mvnz0m_6M9uGI1vG786T1M5K29K3Opu7892TxOHXW8OVtlu8o-_ryK84a9Eo6TO_wCNb3VnYI8VDuDvBpVAb2LgR89dSwlvHiRsrtPQRk9okTsu9BPJ713ooS9ofeEOm1YUz3V7Uc8MufXuif0rz1fQJQ9iNsWtyKsBDsomZG9zcq0u4DTu71lUK28DuqNu9q65bzANbG9UlkOuu6vDj6fEpG9ftCUOUyzDLxAo_Q8xBXluaHyz71O7Rw-xqrtuaeHUj05uV-9rEGGuMui8LxbQh6-NwXjOXSWmbx1Fsc8xifwuKt7P70IfDk9nWJ2Omsewb3ErqK9WfgiODtMQTtzAgc8acsiuR01yz1QllA9W6xhOE5FqrzPo-K8vqRTOfTYW70yXk48fuzaOIurCDzoAQI9cTVON0HxAz1xT8G91zh7OWfS5jwC7TM98EqDOXqOSD3K5E89XFOlOKIIqT08UOc9xI32OLAuODzmdk-9GS2cOCIz1z1yKZk7-S1sN7SQEL7YjKI9mXsEty5BAT1D9gs9SL0NOClMCrz0VS09yOk7N0KhVDyp5R29no2qOMHjKz7cpWi8B4l0uagmp71UPcS9HLiDuNVdmbwRl4K9B3EDuMJGfrwPe-E9DLXBN9WU5Dy-Nqa986NNuMr0cD0i4Ss-8cuKOLoTrLxy3Lk9dDAYuThPUL041go9EHamNnLsv73Iq3g9F9mNOCAAOBNACUhtUAEqcxAAGmBP8wAo9C3T8hwq7QnV8CfJ6w8CFtb__-fIAO4P2dwOG-TK9QsAKK0o6aQAAAAo384k8QD-f8S-DwYBGgKtptYaIXT0ETvn7Ffq-RxmNgcF5wvLB00A2u6gE-LsnSEbJ_ggAC1h3Bc7OBNACUhvUAIqrwYQDBqgBgAAZEIAAFDBAADAQgAAwsIAAKBAAACwwQAAlEIAAMhBAAAAwAAAEMEAAIhBAAAAQQAAGMIAAADAAACAwQAA2EEAAPhBAAAQwgAAgD8AAIA_AACgQAAATMIAAIrCAACEQgAA8MEAAIBAAABQQQAAOMIAAABBAAAMQgAAdMIAACDBAACOwgAA4EAAAKbCAADQQQAA4EAAAJBCAAAwwQAAgL8AAFhCAADgQAAAAEEAABBBAADIQgAAnMIAAIjBAACQQQAAqEEAAKhBAABYwgAALMIAAHDBAADQQQAAPEIAALBBAADEwgAAAMEAANhBAACEQgAAQEIAAJjCAABkwgAA0MEAALBBAACCwgAAcMEAABjCAACAwAAAAMIAALBCAAAkQgAAwMIAAERCAAAgQQAAwMAAAMjBAAAwwQAA0EEAAPBBAAAUwgAAiEEAAFDBAADQwQAAIMEAAJhBAACIQQAA8MEAAFRCAAAAwAAAREIAAEhCAACGwgAAgMAAAMBBAAAgwQAAoMEAAIC_AADQQQAACEIAAJTCAACAwAAAZEIAABBBAACAwAAAAAAAAIDAAABAQQAAAMIAAABCAABQQQAAyEEAAODAAAAAQQAASMIAAKRCAABkQgAAUMEAAIzCAAAMwgAACMIAAMDBAADAwQAAoMAAAJhBAACAQQAA8EEAAODBAACAwQAA0EEAAKDBAABkwgAAUMEAAI5CAADAQQAAdEIAACDBAAAYQgAAJMIAANjBAAAQQQAAEMEAAJhBAACmwgAACEIAAABCAAD4wQAAQEAAACDBAAAAwgAARMIAALhBAAAQQgAANEIAAAhCAADQwQAADMIAAGTCAABAwgAAqMEAAILCAAA8QgAA-EEAAIC_AADQQQAAQMEAAEjCAAB0QgAAOEIAAIC_AACYwQAAgL8AAAzCAABgwgAAmMIAABxCAAAgwQAAAMIAAARCAADoQQAAcMIAAFDCAACYwQAAPMIAAKRCAADgwQAAEMIAAHzCAACAwQAAEMEAAERCAACQwQAAuEEAAGDBAADwQQAAaEIAAKDBAABwwQAAwEAAAKjBIAA4E0AJSHVQASqPAhAAGoACAABkvgAAyL0AAKi9AAAkPgAA2L0AAK4-AACoPQAAM78AAIA7AAC4PQAA4DwAADA9AAD4PQAAbD4AANi9AADIvQAAcD0AALg9AAABPwAATT8AAEM_AABsvgAAij4AAKi9AABEvgAADL4AABw-AACOvgAAgr4AAL4-AACOPgAAFL4AAEy-AACoPQAA6D0AAK4-AACIvQAA2L0AAK6-AADgvAAAA78AAMa-AAD4vQAAVL4AAAw-AABwPQAABD4AAL6-AABkvgAA6r4AACy-AACmvgAARD4AAMi9AABkvgAAEL0AAH8_AAAEvgAAED0AAHw-AACAOwAAqL0AAAy-AABUPiAAOBNACUh8UAEqjwIQARqAAgAA4DwAAIA7AABUvgAAF78AAFC9AAAwvQAAHD4AAKC8AACovQAAuD0AABC9AABMvgAAQLwAAGy-AADYPQAAQLwAAEA8AAAJPwAA6L0AALI-AAAkPgAAcD0AAFC9AAAcvgAAgDsAAFA9AABAPAAA4LwAAAS-AAA8PgAAyD0AAOg9AABUvgAABL4AAAy-AAAQvQAAML0AAGQ-AACevgAAUL0AAEQ-AACoPQAAND4AAFA9AACgPAAALD4AAH-_AAAUvgAAML0AAFS-AACAOwAA4LwAAIA7AABQvQAAZD4AALg9AABAPAAA4DwAAKi9AADIPQAAcL0AAEA8AABQvQAABL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Z8nvGehGBsg","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14252007410179826071"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4081050987"},"41640573347397137":{"videoId":"41640573347397137","docid":"34-7-11-Z1BFDB19E49991E7B","description":"Paul Johnston showing how to use the dot product to project a vector onto another vector.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2430058/a4e8d5a8962ae5f868057d6fedec30bb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-ggCEAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_f_6jUdnEFQ","linkTemplate":"/video/preview/41640573347397137?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product and Projection","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_f_6jUdnEFQ\",\"src\":\"serp\",\"rvb\":\"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-AgD4BwUIAAb9AgkJ__j2AAAA7QcHAAH_AAAE-wEGAQEAAPsC_vz-AAAA-hL_-vf-AQAODv3--AAAAAf6_f_5AAAA-QH9-v8BAADuDAIDAwAAAAwC-wL1_gEA7ggB8___AAD3____AAAAAAAE9QQAAAAAIAAtuojVOzgTQAlITlACKoQCEAAa8AF_1xD_wfvg_8MC5QEAFNgBmDUq_wsl4f_VLkb_2C_dAd3X6AAfENr_9PHpAJMVDgFIGu4AANT0ADWvDgIa_fsA8fvoAe77DAJm-_sB-djn_rwH-v_uARAD3NjG_gUp0_76-xYA9AzcAgznrQoNGSoAEAkaBfIj9gP_yukEsT8UAssWy_0W5vsK7-0I9uA5KQJD6fAH7BT2BNnx7fwA9fkJEwT6_Pf00AIpGQX-1DwTA_DYAvkm5goLDckjBuYc8_LiBBoAzeEW9hX1Iwju7vr68wvyEx_z8g4D5xYM_fHn-vn99gGoBPzrzejvBxPP_v8gAC1MCf46OBNACUhhUAIqcxAAGmA1_wAxzin7ExEa7yfp7PfH4_j3Ccjx__XyAA8MxujUxhYE_QAAL8VA-aYAAAA3Fd867gAWeAXUAP76QSXymfYZMXMXHCeBzhgJ2eM__ALp5RW_CCMA1d_COQDYrvs6_ycgAC1_tx47OBNACUhvUAIqrwYQDBqgBgAA0EEAAHzCAACyQgAAVMIAAGBBAACIQQAAbEIAAABAAAAwwQAAgL8AAADAAACIwQAAgEEAAIBBAAAIwgAAYEEAACxCAAA0wgAAQEAAALDBAACOQgAAHMIAALbCAAA8QgAAIMIAAPBBAACAvwAAIMEAAEzCAAAMQgAAXMIAAODAAACMwgAAmEEAAGDCAAB8QgAACEIAAHBBAACgQAAAoEAAAJhBAABwQQAAmEEAAMBAAAAUQgAAwMEAAJBBAAAUQgAADEIAAHBBAAA4wgAAcMIAAKjBAAD4QQAAIEIAACDBAAA0wgAAiMEAAPBBAACIQgAADEIAANjBAADAwgAAKMIAAIBBAACAwgAA-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-EEAAMDBAACAQQAAGEIAAABBAAAAQQAAQEIAANDBIAA4E0AJSHVQASqPAhAAGoACAADgvAAAZL4AAFA9AADIPQAAQLwAAFQ-AACYvQAA9r4AAOC8AABEPgAAJD4AALi9AAAwPQAAUD0AACy-AABwPQAA6D0AAIA7AACOPgAA3j4AAH8_AABUPgAAJD4AAOA8AADYvQAAiD0AAJi9AAAwvQAAQLwAAI4-AAAEPgAAND4AAPi9AABMPgAADD4AAKg9AABEPgAAXL4AAKa-AAAwPQAAqr4AACy-AABQvQAAgLsAAKC8AACgPAAAmL0AAJi9AABcvgAAVL4AACw-AADYvQAAkj4AAGw-AADoPQAA4LwAACU_AADIvQAA2D0AAFw-AACgvAAAQLwAAFC9AACIPSAAOBNACUh8UAEqjwIQARqAAgAA4LwAACS-AABcvgAAKb8AAFA9AAAkPgAAiD0AAJg9AACIvQAAij4AAIi9AACovQAAUL0AADS-AADgPAAAUL0AAKC8AABBPwAAiL0AAMo-AABwvQAA4LwAAJg9AAAQPQAAED0AAAw-AACYPQAAiD0AAOA8AACIPQAAgDsAAHA9AADgvAAAgLsAADC9AAAUvgAARD4AALi9AAB0vgAAFD4AADQ-AAAsvgAAiL0AAHA9AACIvQAAMD0AAH-_AABwvQAABL4AAOA8AABMvgAAFL4AABy-AADgPAAAND4AAJg9AABQPQAAqD0AANg9AABEPgAAyD0AAKi9AAA0vgAAUD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_f_6jUdnEFQ","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["41640573347397137"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3603341122"},"3744212534889811015":{"videoId":"3744212534889811015","docid":"34-5-13-Z35EDD8DFEE770358","description":"In this session, we dive into one of the most fundamental and powerful tools in vector mechanics: the dot product of vectors, also known as the scalar product. magnitude × cos(θ) How to find the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/398020/deae62b8cd727b35ba2a10978f01c702/564x318_1"},"target":"_self","position":"12","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDGWqsz5I8C4","linkTemplate":"/video/preview/3744212534889811015?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product & Vector Projection Explained | Find Angles & Components in 2D & 3D","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DGWqsz5I8C4\",\"src\":\"serp\",\"rvb\":\"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_vkEDQX9ASMCBwL0BAQA5Q_8-Aj9AQDz_AsI-wAAAAD_AgX-AAAA-Qf68vb-AQALAQD_6wD_AAAC_v_6AAAADwP3_v4BAADpAQEA9gIAAQ7x-Q7_AAAA8fIF-wIAAAD7_wX3AAAAAAEQ-QEAAAAAIAAtdlDOOzgTQAlITlACKnMQABpgShMANCP89uL6NtwB7fAUGdMUEPDv-P_vrgAVKcTl_AbhwPwY_yWwH-WwAAAABAsGMvcA_GkL9s8SFw8K4J_V-Cx_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-EEAAOhBAADgQAAAiMEAACBBAABQQQAAFMIAAJRCAABcwgAAIMIAAIBAAADwwQAA6MEAAATCAAAAwgAAQMEAAHTCAABwQQAA8EEAANDBAABAwgAAZMIAACxCAABwQQAAkMIAAGDBAADQQQAAEEIAAHBBAACIQQAAoMAAAI7CAAAQwQAAmEEAAIxCAAB4QgAABEIAAIBAAABwwSAAOBNACUh1UAEqjwIQABqAAgAABL4AAIa-AABQPQAAiL0AAOg9AACqPgAA2D0AADm_AABEvgAAuD0AAAw-AAB8vgAAgj4AABA9AAAUvgAAcD0AAJg9AACAOwAAhj4AAC0_AAB_PwAAgj4AANY-AACyvgAAXL4AANg9AACgPAAAHL4AABy-AADuPgAA6j4AABC9AABEvgAAdD4AAIC7AAAkPgAAND4AAIC7AADCvgAAQDwAAB2_AAAUvgAAgDsAACS-AAAQvQAATD4AAAQ-AACKvgAAgLsAAMK-AADgPAAAAb8AABQ-AABUPgAAmj4AAHC9AABpPwAADL4AAIi9AADCPgAA-L0AAEy-AACgPAAAPD4gADgTQAlIfFABKo8CEAEagAIAAES-AABsPgAAyL0AAAW_AAC4PQAA2L0AAHQ-AABAPAAAmD0AAHA9AABwvQAAfL4AAFC9AACqvgAAQDwAAKA8AACgPAAAMz8AALg9AACKPgAAfD4AAOi9AACoPQAAoDwAAOC8AAA0PgAAoDwAABw-AAAcvgAAMD0AAIg9AAAEPgAAmr4AAHQ-AABUvgAABL4AAGw-AACYvQAAjr4AAFA9AACOPgAA6L0AAAQ-AAD4PQAAFD4AAIo-AAB_vwAAkr4AAI6-AABQvQAAcL0AAPg9AACgvAAAqL0AACQ-AADoPQAAcL0AAKg9AADoPQAA6D0AADC9AAAcvgAAtr4AADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=DGWqsz5I8C4","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3744212534889811015"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7693276920304999537":{"videoId":"7693276920304999537","docid":"34-8-1-ZD8C494C83F88D20A","description":"dot product dot product of two vectors dot product of vector full chapter 👇 Vector Algebra B.Sc. I Sem • Vector Algebra B.Sc. product class 11 physics numericals dot product of two vectors...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4516777/08b93784308bf4e57a5b85ac3d6b2fa3/564x318_1"},"target":"_self","position":"13","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOHv_gnIeO2s","linkTemplate":"/video/preview/7693276920304999537?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"dot product","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=OHv_gnIeO2s\",\"src\":\"serp\",\"rvb\":\"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__gX7BgD9AAsO-Qn8Av4L-PP4_v4A_QQDAAIF_gD7_QD__wAAAAIH_wH9AAAA9Az6-gIAAAANDf3--AAAAADyAAH5AAAABgME-v8BAADvCwIDAwAAABEJCAH_AAAA-AML_AEAAAD_-vsFAAAAAPX1-_8AAAAAIAAtTxjkOzgTQAlITlACKnMQABpgIR0AMvL-BN8YBu4V9ekfCs_6GvnjBgDjEgASCM3X8dsRAB0N_xXEHuvBAAAAIPPoIQsA7FEIzM_u9v0HFb75_Cl_Jxgo-P359wECG9gF4_ruvfDxANDq-xzXDebfN_8CIAAtTwtWOzgTQAlIb1ACKq8GEAwaoAYAABRCAABQwQAA2EEAACjCAAAAQAAAQMEAAEhCAAAAwgAAUEEAAADAAACAwQAAAEAAACDCAAAAAAAAsEEAAOBAAAAsQgAAyMEAALhBAAAIwgAAAMAAADTCAACAQAAAZEIAABBCAACAQAAAuEEAAHDCAACQQQAAmEEAAIjBAACwQQAA4MEAACBBAAC4wQAAQMAAAIBAAAD-QgAAAEAAABhCAAAoQgAAkMEAAIhCAADAwAAAPEIAAITCAADAwAAAAEAAACBCAADwQQAATMIAAFzCAABkwgAAUMEAAEBBAACEQgAAosIAABDCAAAgwgAALEIAAKhBAABAQAAAAMAAADzCAAAAQAAAVMIAAODAAACgwgAAwMEAAGDCAADKQgAAjkIAAKDCAABsQgAAEMEAAI7CAADowQAAQMAAABhCAAAMQgAALMIAAPjBAAAMQgAAZEIAADhCAABQwQAAEEEAACxCAAA8QgAAWMIAAIC_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-EEAANDBAADgQAAAYMIAAKjBAACQwgAAgMAAAExCAABAwAAABEIAADRCAACgwQAAikIAAFDCAAAgQSAAOBNACUh1UAEqjwIQABqAAgAAcL0AAAy-AAAwPQAATD4AAOC8AABcPgAAqL0AAA2_AAAsPgAAoj4AANY-AACYPQAAMD0AAAw-AADIvQAA-D0AAFQ-AABwPQAAkj4AAAs_AAB_PwAA4DwAAIi9AACIPQAAVL4AAHC9AAAcvgAAuL0AADC9AACqPgAA6D0AAHC9AAA8vgAAkj4AABA9AACgvAAAUD0AAPi9AACOvgAA-D0AADy-AACOvgAAEL0AAPg9AACYPQAAmL0AAHC9AAA0vgAANL4AAEy-AADYPQAAEL0AALI-AACYPQAA4LwAAKg9AAA_PwAAqL0AAJg9AABcPgAAuD0AAPg9AACIvQAAQLwgADgTQAlIfFABKo8CEAEagAIAAKg9AAAQPQAARL4AAB-_AACAOwAAgLsAAEQ-AAC4vQAAUD0AAHw-AACAOwAA-L0AAOC8AAB0vgAABD4AADC9AABwPQAAHz8AADC9AADePgAAQLwAADA9AADgPAAAED0AABC9AABsPgAAUD0AAHA9AAAQvQAAMD0AAOA8AABQPQAAqD0AADC9AABEvgAAMD0AAFA9AAAwvQAAHL4AANg9AABUPgAA4DwAAIA7AABQPQAAiL0AAJg9AAB_vwAAyL0AAOi9AAAwPQAALL4AAIi9AABQvQAAgLsAAPg9AADIPQAAoDwAABC9AABQvQAAqD0AAIC7AABQvQAAmL0AAAw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=OHv_gnIeO2s","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7693276920304999537"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1316440692208630648":{"videoId":"1316440692208630648","docid":"34-11-10-ZB65B03C016A2ADB5","description":"Are you struggling to understand the dot product in vectors? This video breaks it down visually and intuitively so that you truly appreciate it.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1627315/a8649410a569063df33517fd7513a887/564x318_1"},"target":"_self","position":"14","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8lQ9eeRQvxk","linkTemplate":"/video/preview/1316440692208630648?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product Explained Visually. Physics & Math Guide","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8lQ9eeRQvxk\",\"src\":\"serp\",\"rvb\":\"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_kH_QEYA_D58wICAOkR_P36_wEA-PEWAgUAAAAC_fcCCwAAAOoM8vL-AQAADQ_6AgYAAAAT-fQB8wAAABwND__9AQAA8PH38wIAAAAXBBUCAAAAAAoBDfP__wAA-v8F9gAAAAAVDfMKAAAAACAALVfouTs4E0AJSE5QAipzEAAaYA0MACMk_Q3XByjoCO3zBgb7D-vz4xQA6wQAIBHf1vr88NYYBP8qnh3ywAAAAP8W_SIXAN9S9d7RA_3_B-6-8AckfzYGGiAX8uvT-BXS-QDSAscRNwDXBwQR--_oIyb1DSAALT1cUzs4E0AJSG9QAiqvBhAMGqAGAAD4wQAAIEEAAIZCAABgwQAA6MEAAKjBAAAwQgAAIMIAADDBAAAQQQAAgMEAAIBCAADwwQAAmMEAAKBBAAAcQgAA4EEAAFzCAACQwQAAisIAAEDBAABIwgAAEMEAAOhBAAAIQgAA4EAAAMjBAABwwQAAvEIAAHBBAACgQQAAAAAAAGBBAAAoQgAAaMIAADhCAACAwAAAWEIAADxCAAAowgAA4MEAAIA_AAAAQQAAQEAAAABBAACAQQAAaMIAACDCAACQQgAATMIAAHjCAABAQAAAAEAAAPhBAAAQwQAAEMIAAODAAACAPwAAUMEAAEBCAACowQAA8MEAANDBAACwwgAAQEAAAFRCAAC4QgAA-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-AABcvgAA4DwAACw-AACYPQAABT8AAAy-AAA1vwAA2L0AAK4-AAC-PgAA4LwAAIC7AABcPgAAnr4AABy-AACWPgAAmD0AAKo-AAAHPwAAfz8AAFA9AADoPQAAmD0AAIq-AACuvgAAyD0AANi9AACYPQAA6D0AAEQ-AACIvQAAML0AAJg9AAAwPQAAUD0AAJ4-AAA0vgAAhr4AABw-AADCvgAA3r4AAOC8AACYPQAAiL0AAIA7AABwvQAAPL4AAMi9AACOvgAARD4AAHy-AAA8PgAATD4AAFS-AADgvAAAYT8AAPi9AACgvAAAmD0AAOA8AAAcvgAAoDwAAAQ-IAA4E0AJSHxQASqPAhABGoACAAC4vQAAqD0AAMi9AAAFvwAAQLwAAKA8AACCPgAAQLwAAIA7AABUPgAAED0AAEy-AABQvQAATL4AAPg9AAAwvQAABD4AAB8_AAD4vQAAsj4AADA9AACgvAAAoLwAABC9AABwPQAA6D0AAEA8AACIPQAAED0AANg9AACAuwAAuD0AAFy-AAAQvQAAgLsAAIC7AADYPQAAyD0AAGS-AACgPAAARD4AAIi9AABwPQAAmD0AADC9AABUPgAAf78AAOC8AAA0vgAAUL0AAHC9AADgvAAAQLwAAJi9AAAkPgAAmD0AABA9AABAvAAA4DwAAMg9AAAwvQAAqL0AAEC8AACIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=8lQ9eeRQvxk","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1316440692208630648"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14811746038038338537":{"videoId":"14811746038038338537","docid":"34-3-11-Z7297246B83F6BFBB","description":"In this video, we explain the dot product in three-dimensional space (3D). Using clear examples and a simple method, you'll learn how to compute and interpret the dot product of two vectors in 3D.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2123737/4943f63f3371f4fba2cf4325d62e14ed/564x318_1"},"target":"_self","position":"15","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwOrdhFJ7ZkQ","linkTemplate":"/video/preview/14811746038038338537?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Dot Product of 3D Vectors – Simple and Clear Explanation","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wOrdhFJ7ZkQ\",\"src\":\"serp\",\"rvb\":\"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_E2KCBCQBgAQrKosBEAEaeIHuAfn9_AUA9v4DBf4F_gEVBgUC9gICAOQEA_X-_AIA_wsDAAABAAAJ-AH4CQAAAPkH-vP2_gEAEf_wBwIAAAAJ9wAG8wEAAAr_-_j_AQAA6AH9AAMAAAAKBf39AAAAAPLzBfsCAAAA-gEFAAAAAAAEDfcLAP8AACAALXGG3js4E0AJSE5QAipzEAAaYEINAEvo5ezuLEbU1djPERbb4CTqwRD_A6MA2wvR9gkE3sf_Dv8msRoBpQAAABwB_SMMAOp57u7cLyPp-8y0v_kzfwkh-hYiFhnT5zc3HwCz4e_2ZACb8vQSB-TADvYnICAALYmZGzs4E0AJSG9QAiqvBhAMGqAGAAAAQAAANMIAAIZCAACKwgAACEIAAOhBAAAUQgAAgEAAAMDBAACowQAAkEEAAIA_AADAQAAAIEEAAHDBAACIQQAAmMEAALjBAADwQQAABMIAADhCAACwQQAAqMEAADxCAAAEwgAAgEEAAODBAABAQAAAUEEAAIA_AACcwgAA2MEAABzCAACIwQAABMIAAGhCAAAQwgAAgEIAADBBAACAQAAA2MEAAIBCAAAUQgAAAMIAAAhCAADAwQAAokIAACxCAACiQgAAYEEAABjCAACUwgAAgD8AAIDAAAAUQgAAuEEAABRCAACwQQAAHEIAAFRCAACgwQAAaMIAADjCAAAswgAAuMEAAIjCAAD4wQAAUEEAAEzCAABQwQAA4MAAADhCAAB8wgAAYEIAACDBAADgQAAAsMIAAMDAAACAwAAAQEAAAFBBAACaQgAAcEEAAIBAAAAAwQAAyEEAAIRCAACAwAAA2EEAABTCAACgwgAAiEEAAJBBAACwwQAAeEIAAJjBAADAwAAAiEEAADxCAAC8QgAABMIAAPhBAAAwwQAAAAAAAKrCAACQwQAAuMEAAIRCAAAQQgAAnEIAALBBAADIwQAA8MEAACBBAAAAwgAAkMEAAEhCAAAMwgAAqEEAAEBAAADAwQAA4MIAAMjBAAAAQAAAksIAAJrCAADgwQAAIMIAACzCAACoQQAAQMEAANhBAACAPwAAbEIAALjCAABAQgAAgL8AAEDBAAAQQQAAgD8AAFDCAAAAQQAAiEEAALDBAABcQgAAhEIAAOjBAAAwQgAAMMEAAEDBAAAAwgAAgMAAADDBAACwwQAAuEEAACjCAAAUwgAAoEAAAAzCAABAQAAA2MEAAKBAAADgQQAAcMIAAExCAABcQgAAGEIAADBCAAAwwQAACMIAADjCAAAYQgAALEIAAKjCAADowQAAQMEAAABBAACgQAAAgL8AAMhBAADowgAAwMAAAKDBAACowQAAKEIAAI7CAACYwQAAUMEAAOBAAABMQgAAUMEAAJDBAABMQgAAiEEAAEjCAABUQgAAsEEAAAjCAAB8QgAALMIgADgTQAlIdVABKo8CEAAagAIAAES-AAAkvgAAoLwAAFQ-AACYPQAARD4AALg9AAARvwAAbL4AAKo-AABQPQAAPD4AAIA7AACKPgAAfL4AAIC7AABwvQAA2D0AAHQ-AAA1PwAAfz8AAIC7AADgPAAABL4AAGy-AABAPAAAcD0AAPi9AACgvAAAAz8AADw-AADoPQAAqL0AAIY-AADoPQAArj4AAJo-AABUvgAAur4AABA9AADCvgAAir4AADC9AACIvQAAcD0AAOg9AACgvAAA6L0AADS-AACevgAAlj4AAPq-AADqPgAALD4AAIa-AACAOwAAVz8AANi9AACovQAARD4AALi9AADIvQAAgLsAADA9IAA4E0AJSHxQASqPAhABGoACAABwvQAAcL0AAEA8AAAjvwAAuL0AABA9AACAOwAAJD4AAKC8AABMPgAARL4AACy-AABQPQAATL4AAIg9AAAQvQAAPD4AACE_AACYPQAABT8AAPi9AAAcPgAAoDwAAAy-AABQvQAAoLwAAOg9AABAvAAA6L0AAHQ-AACAOwAAHD4AADS-AAC4vQAAMD0AAKC8AABEPgAALD4AALK-AACGPgAAmL0AADC9AAA0vgAAJD4AABS-AAAkPgAAf78AAJi9AAC2vgAAoLwAAKi9AADIvQAAgLsAABQ-AACaPgAAiD0AAKg9AABwvQAAQLwAAIC7AAAQPQAAqD0AAHA9AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=wOrdhFJ7ZkQ","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14811746038038338537"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1787444110442225591":{"videoId":"1787444110442225591","docid":"34-7-17-ZF632B62F2678443E","description":"Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/ZachStar/ STEMerch Store: https://stemerch.com/ Support the Channel: / zachstar PayPal(one time donation)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2089623/b3b71f2c1cc83d35de81a73a45777260/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2i01FwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTBpDMLCC2uY","linkTemplate":"/video/preview/1787444110442225591?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The real world applications of the dot product","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TBpDMLCC2uY\",\"src\":\"serp\",\"rvb\":\"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-f38BQADAAUHAQj8AgIMAP_4__8A7P0M-fr_AQAL_wf-AwAAAAQG9wECAAAA7Qb99vUBAAAHF_0ABAAAAAzx_f_6AAAAAQgFBP4BAADvAQX_AwAAABEJCAH_AAAA9wIG9v__AAD2_PwIAAAAAAQB-wQAAAAAIAAtcYbeOzgTQAlITlACKoQCEAAa8AF_5-r9xM67AI3YxQHlIuAAvgsW_zcY_gHPNE__71HQAAbt6gAIzSP__9fe_5T93wL89ScAQOIxAEToAP8p3ugArhf6AQsDBANZAx7_KOzZAQYiHv20H_oB5LrtAvkM_PwYDgcAKBTtAsTJtAhAOj8C5bzdBQTx_Qfd0wwNGP4w_Q3d4v8K3Cz5_McfAOEKMgIQ-vsKBUP5Af0Y5QAa5vMNHxzz8THu7QAL7Mj-mRoR_cK7Ev771-b4-bINAMbv-QatBBb70BcM-C1JLAH9JO_22QD0BxUeCQbeIQYB8ssB--Iv_vu3He3w3PP75kUPDBQgAC26kOA6OBNACUhhUAIqzwcQABrAB9-lrL78kxM9GX6mvNzxJj0OVWe8vZh7u3gpZb73JCu90oS3vMBbUD5tqL08nCdovc0hKb6B_4K9DpMfPRh3Ez7VioC8_o2Hu3i3Ur38p7w7OFeDvEpNwb1m5jg7TxqPPF7FGjxsbpY8_CzgvFMkHTwbDUC9veinu24bIzyqJo29PvH3vNnZtj3cRsO9C3G2vJV_DT6ipFa9sVVdPHglOT6iEQk8dnIAvBGL2LzEorg90w6kPKxw673w04I8MgWpu7JZnz0r1MS9EXHzPJuNWr3Dd6y8swhFPPkUgLw2dLO8PQpXvKBSVT5Qh1u7WQS1vBq1nD0x8Le8MOEnOycWmL2LA4O8LKrVu0Fe9DwAESw9bC3lO670Kr5txd49itQLu_-ZPL2hGxA917c4PDGxGT6p9SM8O0iZPKCkAD4I0vu8qI_APAib8Lz_Yxw9Fw2ZPFVkiT32l909mPJGvL5o0buQ3ks9rCMivGTMnbyoXYI7VonoPF8Srb1mxSq6q66DPFeK7rwaaY49NgJQu4_gFj5beA6-A-cOvExoljsgtQu88zwZPColf72xqyQ9u2iCu1dYFT2LVHi9khDduwZ1y73vHYW9YRZVuRtnMz3bifK92apqu_wxsr3LQao9Ax9AufxlQbyF7Nm7h0I6vCh-rD29eos8fi0WO4AX7Dwghzc9j1OVumbB5L1i2GW7yhMtu7HVijyNoTW7RplLu3AWZT3h4x09ErLBunJUiTwnBSy95BWIO3SHQz1_bPG7wVTxuukN9zyALoW9kk3dufj7hbx7T0A8D2cNOu3liLzMebY9v_E6uSk1hbwkH8W9yBgwOfFIDL5vevw8gtVluBFDoTx8iJ27dTR6OmdrM706ckm8zMNcurLtib002qo8A4uWuMYl_bz3fKi8b6eduDRIA7ypkvc8XWNwuJFCiT2i4zS8hpaSuO1-FT5cNq-9OGWPucN4kj0UVIk9sfw1OLfJcjxtLR29y6PCuEWc7zs90dU94glHuWtpybw6d7s8isLDt6JEa70kuXy8_XYmuOo2jTwMEQa9mX5yN8_g3Tn6umc9CgWHuE30ubxgdm-9hrYgNmLfCDyP_nc9bQ5rOMTPDz48aum7nsuVNkuXWT0v5kK8t5XAt0Hutz08YdO7QRn8uGaCkb16lQu9VNSEt7-Iob2z7fS8S4JluFe_yLz5FcY8rmmrt6FvQbsLi5C9YoYJuEXLqz0RyAW9lm54OEU4rL251II98sgPuFXXxr27mVG8-Zpbt6d5Bz2Nb5k9z49AOCAAOBNACUhtUAEqcxAAGmAl9QAw5g_sFQNPBev65BD0y_nwC_j4_-4U_-o3-v0s-wjV7QgAGdo94bMAAAAQ9AwsBwDzYBvdwRDJDSbi6AAlCX_59RivBzEXyt_w-hkz3hHePiAA7uXYO_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-AAAMPgAAbD4AAHQ-AACIvQAA2j4AAMi9AADIvQAAij4AAOC8AABUPgAA6j4AAH8_AABAvAAAND4AAKg9AADOvgAA-L0AANi9AAB0vgAAFL4AAJI-AAAMPgAAjj4AABC9AACAOwAAUD0AAIA7AAAcPgAANL4AAA2_AABMPgAAor4AADS-AAAQPQAA4DwAAOA8AAAQPQAAmD0AADy-AACIvQAAHL4AAIA7AAB0vgAApj4AAGQ-AAAQPQAAED0AADE_AABUvgAAoDwAAJY-AAA8vgAAQLwAADC9AAAMPiAAOBNACUh8UAEqjwIQARqAAgAAgLsAAJi9AAA0vgAAOb8AADC9AAAwvQAAfD4AAHC9AACSPgAAPD4AABy-AAC4vQAAoDwAAM6-AAB0PgAAUD0AAHw-AAATPwAA4DwAAA0_AABsvgAAgLsAAIg9AAAEPgAAED0AANI-AABUPgAAiD0AABS-AADIvQAAuL0AAIA7AADYPQAAdL4AAGS-AABMPgAAuL0AAMi9AAAcvgAAXD4AAOA8AAAkPgAAuD0AANg9AABQvQAAML0AAH-_AACOvgAA3r4AAFA9AADGvgAAML0AAPi9AABAPAAAQDwAANg9AAAwvQAAEL0AAAS-AAC4vQAAML0AAOC8AABQvQAAFD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=TBpDMLCC2uY","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1787444110442225591"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"452108766"},"5564596137825338746":{"videoId":"5564596137825338746","docid":"34-5-16-Z7EE38DEE4544091B","description":"In this video, we are going to discuss some questions on dot product of vectors. Control Systems : • Control Systems Biomedical Instrumentation And Measurement : • Biomedical Instrumentation And...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1491919/19b2af7f95c53203236189e434af69a7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/5tr__QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBeWDDp4Wi2s","linkTemplate":"/video/preview/5564596137825338746?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dot Product | Question 2 | Scalars And Vectors | Basic Physics","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=BeWDDp4Wi2s\",\"src\":\"serp\",\"rvb\":\"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_gH-DPjx9_79APMS-gIHAv8A-vT9B_wAAAAGA_wKCgAAAPID9_r8AAAAFgT0APUAAAAP-vz09QAAAAXz7gQAAQAA5AUH9QIAAAAEBAYG9P4BAPcDDPwBAAAA9P399gAAAAAR_QoFAAAAACAALXZQzjs4E0AJSE5QAiqEAhAAGvABfwL6_9v2rwHaA_cA6B35AbwFHv_8NNIAuPELAb3q3wHvLtEA-g3tAcEaGADJFfMAQPXJ_wTJ4QAq6_D_JdPuAfcP6wD62NcBXQYeAOz_Bf_qCicA5eIKAf3G3gAbDeT94-oT_Bgc5f3bDNQBIRUnAQcjLQoR0hAG3K_9Ae_s__7r3dj9-ADyBOfYFPzg9TAHH8n9_ur-Cfnm_t8E7ukB_BHfJv0sNtX_OOECABIU8fbe6-8F5v_1EAkbEQXRIPcHyuQVA-wICvoH9AL4Ee339_0i8An84fMKE_zyCQ0L__0Izu3x1xX--wIC_QDlGd7yIAAt-MYROzgTQAlIYVACKs8HEAAawAcv_eu-CmIFPd3U_jvmEGe9FqhAvSwfg708izm9chsIPceBHjoglsI9CqMZvRAGnrwEVDi-lqGiuwRIvrzLgDM-5tGIvZhiMzx1dPy9LxOaPQsCEL2JCxC-Nmquus6P-TvZuIm910W2vF8grbyrTaI9VNwdvQl2Er0zOKW8gCXbO1sAZLwriMG8wxccvUlb5rxNn6E7yrhzvRiOET0gB7o9gpE3vYiynLxu6z09gMCcu0Sqg7zWMTO9jVL4PDQ_yLzhn608n9rqPHmoz7hEIL29tGA9vVvVRzkgpvO8GojlvM9l6jvqB3U9v4TEO7HVCr1ik6k7cSrIvchqqbx39Qq-oJ8uPVz5Ubzkhv89OXb1PIxvnjzSV5u93UhUPRr0Lbuc2VM80LHovMdVkjmlS689ANuWPZlho7rl8ro9w920vAS6I7xyE_e7LLmKPHMyzDwgS6o9qBb2vFx2iLzdiUg9aUEevWU14TuqPny97xCgPUuPJjxtrIQ8HRA3PbNbcDxFTvy7knUYPZ0m2DzfZsY9ObXzvYcfGDz6WKa9y1CQvR2nrrvdwX49vLskPYh7kbxu_Ok9TOStvStzqbuhEY27ubAkvODC9LpktmC7qASPvZo0Gbshhme9OmgEPF2Mnru_a6e7OsO5PNY1f7ycZFA8j32KPS7LF7zQTye9d6KEvaH3hDreZ0Y9JaOUvKiL1jslSLs9nqAjPWBPK7lU-p49mug4vXhaTzgsQla9SGP-vKFdDTtO82m8e7aDvRyb27ptA9c9taPYvQyfrznNodY8eFKVPDzKlzgmbLS9ZEDWPVwmEDgV14I9iU1avTnrkzhcVAu9nBXxvdyedTmTJem8VxAaPPrI9zrhax88vifgPIXAIbrMIMO91A0EvghThTnGJf2893yovG-nnbiAKQM-dxvKPMjvOTnefeU7V55suTQRq7iFsYm7kvr8OzqMQrhleKa7AJQaPTZx0DhMqAA9x_Cdvf7uMDnDdyw97kigPW3tGzli9cc8tSvfuy35D7eiU8E9pSNqPWinTDhSSM-7PjyrvU-y5DgNqeI9IpU4ve3eQTfK4QO-ENcePJf9TjeDZhw9-cOqPJKg8DhSCZG6164_vSZG27e0Va487jFHvIBMn7eSXRk-2U9QvazCP7mqnse9ep2OvZJN1TcylO68uvi7vTYXJrgyC7O9Ev5APbJytjfsA707fNQPvhf63LjK9HA9IuErPvHLijgHC6e8vfzuPYO0Hrliglq9WyBmPWQ1uzfktRe9HxNpPbdhcjggADgTQAlIbVABKnMQABpgUvEAKPYv2PsRJusL3fMvyOb9BQjN7f_ezf_xDuHvAQbj1fgLABujGNSjAAAALs7TKQQA_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_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-AAAQvQAAUD0AAFy-AADWPgAALD4AAG2_AACgvAAAqD0AAHA9AAAMvgAAoDwAAL4-AAC6vgAAoDwAACQ-AAAQPQAART8AAHk_AAB5PwAA1r4AAEQ-AABwvQAAvr4AAIi9AACoPQAATL4AAHy-AAD2PgAAoj4AADy-AAC-vgAA-D0AAEw-AACqPgAAiD0AAEC8AACevgAA4DwAAK6-AAB0vgAA4LwAAEA8AABkvgAAEL0AADQ-AADqvgAANL4AAMq-AAD4vQAAtr4AAMI-AAAwvQAAMD0AAOA8AAB_PwAAoLwAAPi9AACGPgAA2L0AAJg9AAAUvgAAvj4gADgTQAlIfFABKo8CEAEagAIAABA9AACYPQAAXL4AABG_AACgvAAA4LwAAEw-AACgPAAAmL0AABQ-AABAvAAAPL4AAIA7AAA0vgAAiD0AADC9AADgvAAACz8AAOi9AAC6PgAADD4AAEC8AACAuwAAPL4AABA9AABQPQAAED0AAOA8AAC4vQAAPD4AALg9AADIPQAAkr4AAOC8AAAkvgAADL4AADA9AABkPgAAjr4AAHC9AACCPgAAgDsAADQ-AACYPQAAgDsAAEw-AAB_vwAA-L0AAKi9AABwvQAA4LwAADA9AACgvAAAoLwAADw-AAC4PQAAQLwAAIA7AACgvAAA-D0AAOC8AACAuwAAqL0AABS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=BeWDDp4Wi2s","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5564596137825338746"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"453438484"},"6691880653773756030":{"videoId":"6691880653773756030","docid":"34-11-0-ZFDEFA025B08CE453","description":"In this video, we're going to be learning about scalar and dot product. We'll be using them to solve some problems. If you're looking to learn some basic vector algebra concepts, then this video...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3249099/2247adcfce97bd46bc5c1c1a5f4fd7e2/564x318_1"},"target":"_self","position":"18","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DB4sROcHHyU4","linkTemplate":"/video/preview/6691880653773756030?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"[26] Application Of Dot Product: Workout Problems","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=B4sROcHHyU4\",\"src\":\"serp\",\"rvb\":\"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-gAH8ggDBQn8AgwN9Pf1AAAA9Ab0_PQD_wAC7wT_-gEAAAv_-AP5AAAA4gMLB_oDAAAPD_3-9wAAAAnl9vv9AAAA7fIHDAABAAD_BQb39wEAABj6AQXz_gIACA7_APn_AAH79v0E9PwAAAsC9AEAAAAAIAAtt8nCOzgTQAlITlACKnMQABpgAhwASQ_43eMBMwHw_9ohDZzq8_0QCf_XBf8fF_Pi7-3v0SMK_w3DJtisAAAAEPLWIg0A22IPt73p7f0CxdwXJBR_-AIt_zkc998BQ_Em7b7a6vwhAOHuBzb-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-EEAAAxCAACgQQAAMMEAAEDCAAAwwgAAFMIAAMBAAACwwQAA4EAAAEDAAAAQQgAAKEIAAMBBAACoQQAAmEEAAODAAACEwgAAWMIAAOpCAABYwgAAyEEAALhBAACgQAAAgMAAAIA_AAAgQQAAmEIAAJJCAAD4QQAAXMIAANhBAADAwAAAHMIAADDBAADgQQAAUMEAABhCAAAQQQAAwEAAAFTCAADgwQAAPMIAAFRCAABgQQAAgL8AAFDBAAAcQgAAgMEAAIDAAAC4wQAAgEEAAKBAAAAYwgAAEEIAAIBBAAC4wQAA0MEAAHjCAABowiAAOBNACUh1UAEqjwIQABqAAgAAlr4AAPg9AABwvQAAdD4AABA9AAABPwAAyL0AAH-_AACCPgAAyD0AALY-AADYPQAAiD0AAJY-AACevgAAlj4AAKI-AABAvAAA3j4AAFk_AAB9PwAA6L0AAHw-AAC4PQAAyr4AABA9AACIPQAA-r4AALa-AADKPgAAqj4AAFA9AADovQAAgDsAAKI-AAAsPgAAoDwAAAy-AACCvgAAuD0AAJ6-AABUvgAAND4AAJI-AABkvgAAfD4AABQ-AADOvgAA0r4AAOa-AAAEPgAA0r4AADQ-AACGPgAAdD4AAIC7AABxPwAA2D0AAES-AACIPQAAFD4AABA9AAAsvgAAVD4gADgTQAlIfFABKo8CEAEagAIAAIK-AABwPQAAfL4AADm_AAAUPgAAoLwAACw-AADIvQAAgDsAALg9AABwvQAAPL4AACS-AACavgAAqD0AAIC7AACovQAAKT8AACy-AACyPgAA-D0AAFC9AAC4PQAAiL0AAFC9AAA8PgAA4LwAAKg9AAAEvgAAgLsAALg9AADIPQAARL4AAJi9AAAMvgAAqL0AAIC7AAAUvgAAjr4AALg9AACIPQAAuL0AAIg9AABwPQAAyL0AADQ-AAB_vwAAkr4AADy-AACovQAAVL4AAHC9AABQvQAAUD0AAEQ-AABQPQAAgDsAAAw-AACYPQAAcD0AABS-AADovQAAgLsAAOA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=B4sROcHHyU4","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6691880653773756030"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17962396848100913032":{"videoId":"17962396848100913032","docid":"34-7-10-Z1FF54FA6860DAD31","description":"🔽 Click Clipped from the super long shaders for beginners stream of two days ago! Note that this is for two normalized vectors, it's a bit different if only one or none of them are normalized.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3985446/2949fd92f8df2851f21f98b16a03c3c3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XUPbDgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2PrSUK1VrKA","linkTemplate":"/video/preview/17962396848100913032?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Dot Product - A Visual Explanation","related_orig_text":"Dot_Productions","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dot_Productions\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2PrSUK1VrKA\",\"src\":\"serp\",\"rvb\":\"EqoDChMzMzQwODM2NjU5OTM1MTEyNzEwChQxNDcxODEzNjc3NDY1MjI0MDQxOAoTMzU3MTgzNDM4NTk4MzkyMjI3NQoTOTg0MjMyNzM0ODkxNDkyNDM3NwoUMTY4NzQ5MDg2MzQ2MjAwNzA5MzQKFDEyNjA2MzQ1NzExOTg2MjkwNzE0ChM0MDc4OTEwODY5MDc0MTA2NTQ2ChQxMzYzMzU5MTU5NDgwMDYzNDAyMAoUMTQyNTIwMDc0MTAxNzk4MjYwNzEKETQxNjQwNTczMzQ3Mzk3MTM3ChMzNzQ0MjEyNTM0ODg5ODExMDE1ChM3NjkzMjc2OTIwMzA0OTk5NTM3ChMxMzE2NDQwNjkyMjA4NjMwNjQ4ChQxNDgxMTc0NjAzODAzODMzODUzNwoTMTc4NzQ0NDExMDQ0MjIyNTU5MQoTNTU2NDU5NjEzNzgyNTMzODc0NgoTNjY5MTg4MDY1Mzc3Mzc1NjAzMAoUMTc5NjIzOTY4NDgxMDA5MTMwMzIKEzgxOTc1NzE1OTUyMjI4NjUwODkKFDE0MjgwNDIzNzU1NDMxMTQwNTMwGhYKFDE3OTYyMzk2ODQ4MTAwOTEzMDMyWhQxNzk2MjM5Njg0ODEwMDkxMzAzMmqSFxIBMBgAIkQaMQAKKmhoY3NyaWRqbGV4ZXBiaWNoaFVDN00tV3o0eks4b2lrdDZBVGNvVHdCQRICABIqD8IPDxoPPxNtggQkAYAEKyqLARABGniB9Aj7B_0DAPz5BgcCB_wCBgf4APf__wDlBgcC9_wCAAQBAf7_AQAABAb3AQIAAADz-v72AQAAAA4N_f74AAAADPH9__oAAAAKBvcI_gEAAPEE-_0DAAAAEggC9P8AAAD3-AzzAAAAAPUF9gQAAAAAAv_y_AAAAAAgAC0jP9w7OBNACUhOUAIqhAIQABrwAX8HDQCh8Ob9RPzXALob2v-YDP__ehLmAD4EBQBh2wP_AATrAOH7Sf4EAusABu4F_6slJv_-MQgBJ7f1_uzk7QDSFsgAAPUMAhTqCAAA6wQA8CYL_wsPIP_p99oA8OpNADjpJQD7KgEB0dcEAgbtAQL23egCCR4FAtMTNgQSHiL2vxgA_bMRFQMDAgf5IPYJ_ScW8P8UOe3_ACPx_y8BCPgHK_n1LgLhAyIxGwX67OL-BDH4-TsJ_Pje1OUOKxcqAgEON_rf8Pry7zLt9As-9Qfi0OsE7SD2D_8i3QkBD_7sBwgb-Qg4AOrVz_AJGfH-BiAALVzRADs4E0AJSGFQAirPBxAAGsAHhxbhvrg-7Dw5Qia9HeJEPEIhIj0nwLA8dRkjuzfGTrwFk1G9oJtHvWHZEb2aOYu7_Iy7vlpTD7zG6sW7_tWLPiDEnzyGqTE7Y_qEPbbPH7nKSCe9R2tWvSkaEL0ZBDE9drA0PEfaFz2tQL48wsmMPS9SQ718Gbs8ab-KPZuQdr3M2ly8EUKWPevag72aO9-8lPYGPqoAqTwTMtS5XtfvvRqMrjsXOoA8KBkvvaxgCr2F5p-8FpJivRFedbs-9NO8oPK5PAVwDr3wiMq8Wm2ZvDNkhr2-ew-8k1GlPMFHjjxb7ze8t6-oPEadFL15CIC7LR1YPZlxyTxHf9w7ZdojvDjTmT2Obqm8wNFpOpIkGD7KNLs6JrrIvU8-nDvFiKs7WLs3PNSk7zwgaq252SU6PpjDzr2Q5Ac7Q1TBPbIiNDw5K328oZFZPf47rLzJ1xS8OA6hvGEtyDz5rYw6Xf8pPQy1wTw_dJy8KLGQvNeddrsn5hE8qnMWPQSeKj189MQ7wmS_PUiHDD3nEem7lInbPdjvib0ZFPY6QthfvIDfdTyd8ge8GahxPecKhT0lyXM8tCAEPhgIAr3YIDe62e0DvmLY5bt0LIy6-LlLPTgPTDyZOe47kdyVvVHcIT4-lA46tql0O9P1BD3Aqww89DLqvSh9gb0VVb86u_6TvXRbpz3d8Yc2hl1PveJ9CjrLAGq6mqdEPZwYUr0-_hi7VPqePZroOL14Wk843wDOvGKVXD0Ya8k5x3h-vWCHu7wx5ki4R0-2PRbSKzw0zoc4e_oYvlxJoTw1w785jqSuPBtyYj1s-0-4CLWqvaJ-lzzqrUw2ppf4vfOrqb2qNHU43y25O0Ujyb38OQE5zEw_vQpoorz5kXW5p6MtvE37gzoKpwG69F4KPE82yrxCyYK4xL7wOtkt3TyF5xu5ufzJu3IDtDzo8pC5KNYpvRRUib3vdOI452nlPEiWwrz3Fws538csvRzMSzxuY5C5ciwYPJOEib3NB2Q4wsCjPSVjML1Byes3I2GEPLpnvT0lX3e3qvkFPR8OMr3B4b83qu3LvNOBkT0Gk2a3WjSjvXxaSj1yIGw49RYqvezjujsSy5C3HO8OPZ37hryYAUg3cU_hPLmAwLqkzK23mXJvPeejMb2AAB64ataOPX8T6r2Mxbi4h2cOvfRlLr3N0hC4IzlPPDqh4TxrJNG3SOIFPgZ0FbxG1l-4xGhsPSianzm9WcM3rTIjvpGQEj21omu452RzPKiq0D0SOGG3w3KlPW2r2b1Tt8C4IAA4E0AJSG1QASpzEAAaYHYBADvg0tT_J07oBeLbDPndxiPx0jb_4ej_-Q7kAen6-ePa__9Wwxj2mgAAAA_5BSDnAOx_-_D3F8_1Ctml4jc2ZU3yH-c48BG8wAr988TH9_r-PgC7vcg0-ez-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_AADgwAAA4EEAAJBBAACIQQAAyMEAABhCAACswgAAcEEAAOjBAADAwQAAaMIAAKBBAAAgQgAAUMIAACjCAACQwQAAYEEAAFjCAACAQAAAdEIAAJjBAABEQgAAoEAAAIDCAACQwQAAIMEAAIDBAADwwQAAikIAABDBAAAQwgAAyMEAANZCAAAcwgAA4MEAAMjBAAA4wgAA0EEAANjBAAAUwgAAXEIAACTCAADgQAAAcMEAAIjBAADgQAAAHEIAAAzCAAAMQgAAoMAAAChCAAAQwgAAZMIgADgTQAlIdVABKo8CEAAagAIAAJK-AABkvgAAyL0AAIo-AAAEvgAAyj4AABA9AAD2vgAATL4AAHQ-AAAcPgAA4DwAAFC9AACOPgAAZL4AADC9AABEPgAA-D0AAHw-AAAFPwAAfz8AADC9AAAQvQAAuL0AACy-AADYvQAAPL4AABy-AACgPAAAXD4AAAQ-AACYvQAA4DwAAOg9AAA0PgAAND4AAL4-AAA8vgAA7r4AAKA8AABUvgAAoDwAAHA9AABAvAAAoDwAAKA8AAAUvgAA4DwAAEA8AABcvgAAED0AAAS-AACyPgAAxj4AAHS-AABwPQAANT8AAAS-AABkPgAAvj4AALi9AADYvQAAUD0AABA9IAA4E0AJSHxQASqPAhABGoACAAC4vQAA4LwAAKi9AABBvwAAHL4AAFw-AAAEPgAAnj4AAIA7AADSPgAAUD0AAOC8AAAkvgAALL4AANi9AABAvAAA6D0AADU_AAAcPgAA7j4AAAy-AAAUPgAA-D0AAHC9AABEvgAADD4AAAw-AACoPQAAMD0AAMg9AAAQPQAAoDwAAMi9AABcvgAAQDwAAJi9AABEPgAAuD0AALK-AACmPgAA2D0AAHC9AADIvQAA6D0AAKC8AAB8PgAAf78AAIg9AACIvQAAVD4AAKi9AAAwvQAAED0AAPg9AAANPwAAUD0AAHA9AAC4vQAAMD0AABy-AADoPQAAoDwAAOC8AACoPSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=2PrSUK1VrKA","parent-reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17962396848100913032"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3257899204"}},"dups":{"3340836659935112710":{"videoId":"3340836659935112710","title":"\u0007[Dot\u0007] \u0007[Product\u0007] and Scalar Product of Vectors, Physics","cleanTitle":"Dot Product and Scalar Product of Vectors, Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=5qv8RmIpM_I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/5qv8RmIpM_I?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDX2x0Q2RMVk1SWjdyM0lQekYyVG95Zw==","name":"Najam Academy","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Najam+Academy","origUrl":"http://www.youtube.com/@NAJAMACADEMY","a11yText":"Najam Academy. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":634,"text":"10:34","a11yText":"Süre 10 dakika 34 saniye","shortText":"10 dk."},"views":{"text":"210,9bin","a11yText":"210,9 bin izleme"},"date":"26 tem 2017","modifyTime":1501027200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/5qv8RmIpM_I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=5qv8RmIpM_I","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":634},"parentClipId":"3340836659935112710","href":"/preview/3340836659935112710?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/3340836659935112710?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14718136774652240418":{"videoId":"14718136774652240418","title":"\u0007[Dot\u0007] \u0007[Product\u0007] vector animation","cleanTitle":"Dot Product vector animation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=MbLgtT1Ba4s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MbLgtT1Ba4s?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDQVNHQno5Q0lyZTFQN01Rck9hYXItUQ==","name":"NiLTime","isVerified":false,"subscribersCount":0,"url":"/video/search?text=NiLTime","origUrl":"http://www.youtube.com/@NiLTime","a11yText":"NiLTime. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":43,"text":"00:43","a11yText":"Süre 43 saniye","shortText":""},"views":{"text":"14,4bin","a11yText":"14,4 bin izleme"},"date":"10 kas 2019","modifyTime":1573344000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MbLgtT1Ba4s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MbLgtT1Ba4s","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":43},"parentClipId":"14718136774652240418","href":"/preview/14718136774652240418?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/14718136774652240418?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3571834385983922275":{"videoId":"3571834385983922275","title":"\u0007[Dot\u0007] \u0007[Products\u0007] | Vector Projections | Physics Peer","cleanTitle":"Dot Products | Vector Projections | Physics Peer","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=sOyBiDwTKWM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/sOyBiDwTKWM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRkZnTkJ4MWE0SVd6dTY3YU1iX2xHZw==","name":"Physics Peer","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Physics+Peer","origUrl":"http://www.youtube.com/@physicspeer283","a11yText":"Physics Peer. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1705,"text":"28:25","a11yText":"Süre 28 dakika 25 saniye","shortText":"28 dk."},"date":"10 mayıs 2022","modifyTime":1652140800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/sOyBiDwTKWM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=sOyBiDwTKWM","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":1705},"parentClipId":"3571834385983922275","href":"/preview/3571834385983922275?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/3571834385983922275?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9842327348914924377":{"videoId":"9842327348914924377","title":"Visualizing the \u0007[Dot\u0007] \u0007[Product\u0007]: The relationship between the angle of two vectors","cleanTitle":"Visualizing the Dot Product: The relationship between the angle of two vectors","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/5JQ9Qn1_Cbs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/5JQ9Qn1_Cbs?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDTzJmQmZUN0xLQVVGVUY0YW5LMVI1dw==","name":"Xan 3D","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Xan+3D","origUrl":"http://www.youtube.com/@Xan3D","a11yText":"Xan 3D. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":14,"text":"00:14","a11yText":"Süre 14 saniye","shortText":""},"views":{"text":"4,8bin","a11yText":"4,8 bin izleme"},"date":"18 ara 2024","modifyTime":1734480000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/5JQ9Qn1_Cbs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=5JQ9Qn1_Cbs","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":14},"parentClipId":"9842327348914924377","href":"/preview/9842327348914924377?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/9842327348914924377?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16874908634620070934":{"videoId":"16874908634620070934","title":"Vectors - The \u0007[Dot\u0007] \u0007[Product\u0007]","cleanTitle":"Vectors - The Dot Product","host":{"title":"YouTube","href":"http://www.youtube.com/v/98C7iv8OcnI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/98C7iv8OcnI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRmU2amVuTTFCYzU0cXRCc0lKR1JaUQ==","name":"patrickJMT","isVerified":true,"subscribersCount":0,"url":"/video/search?text=patrickJMT","origUrl":"http://www.youtube.com/@patrickjmt","a11yText":"patrickJMT. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":446,"text":"7:26","a11yText":"Süre 7 dakika 26 saniye","shortText":"7 dk."},"views":{"text":"1,1milyon","a11yText":"1,1 milyon izleme"},"date":"19 eki 2008","modifyTime":1224374400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/98C7iv8OcnI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=98C7iv8OcnI","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":446},"parentClipId":"16874908634620070934","href":"/preview/16874908634620070934?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/16874908634620070934?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12606345711986290714":{"videoId":"12606345711986290714","title":"Fundamentals - The \u0007[Dot\u0007] \u0007[Product\u0007]","cleanTitle":"Fundamentals - The Dot Product","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=s7UbQUUy58c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/s7UbQUUy58c?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDX1lXVHJKbEh2bWg1UDA5THJjVXBCUQ==","name":"TDChannel","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TDChannel","origUrl":"http://www.youtube.com/@TDChannel11","a11yText":"TDChannel. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":855,"text":"14:15","a11yText":"Süre 14 dakika 15 saniye","shortText":"14 dk."},"views":{"text":"1,1bin","a11yText":"1,1 bin izleme"},"date":"3 eyl 2012","modifyTime":1346630400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/s7UbQUUy58c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=s7UbQUUy58c","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":855},"parentClipId":"12606345711986290714","href":"/preview/12606345711986290714?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/12606345711986290714?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4078910869074106546":{"videoId":"4078910869074106546","title":"\u0007[Dot\u0007] \u0007[product\u0007] of two vectors animation #shorts","cleanTitle":"Dot product of two vectors animation #shorts","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RYDX1C1vFHA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RYDX1C1vFHA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWmpPZmRPaXNUYl90ZldWWE5oTkV1QQ==","name":"Intuition point","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Intuition+point","origUrl":"http://www.youtube.com/@intuitionpoint9078","a11yText":"Intuition point. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":54,"text":"00:54","a11yText":"Süre 54 saniye","shortText":""},"date":"12 oca 2021","modifyTime":1610409600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RYDX1C1vFHA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RYDX1C1vFHA","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":54},"parentClipId":"4078910869074106546","href":"/preview/4078910869074106546?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/4078910869074106546?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13633591594800634020":{"videoId":"13633591594800634020","title":"\u0007[Dot\u0007] \u0007[Product\u0007] and Cross Product of Vectors Explained | Vector Multiplication","cleanTitle":"Dot Product and Cross Product of Vectors Explained | Vector Multiplication","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lwPeXAhCwUs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lwPeXAhCwUs?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDQmtPVnAxQ3F6NE1SMExZUjh2S3BaZw==","name":"ALL ABOUT ELECTRONICS","isVerified":true,"subscribersCount":0,"url":"/video/search?text=ALL+ABOUT+ELECTRONICS","origUrl":"http://www.youtube.com/@ALLABOUTELECTRONICS","a11yText":"ALL ABOUT ELECTRONICS. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1736,"text":"28:56","a11yText":"Süre 28 dakika 56 saniye","shortText":"28 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"16 kas 2025","modifyTime":1763251200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lwPeXAhCwUs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lwPeXAhCwUs","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":1736},"parentClipId":"13633591594800634020","href":"/preview/13633591594800634020?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/13633591594800634020?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14252007410179826071":{"videoId":"14252007410179826071","title":"\u0007[Dot\u0007] \u0007[Product\u0007] | Questions 3 | Scalars And Vectors | Basic Physics","cleanTitle":"Dot Product | Questions 3 | Scalars And Vectors | Basic Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Z8nvGehGBsg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Z8nvGehGBsg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMkpKVFo3b25xN0NNUkR1eE9FUzN5QQ==","name":"ENGINEERING TUTORIAL","isVerified":false,"subscribersCount":0,"url":"/video/search?text=ENGINEERING+TUTORIAL","origUrl":"http://www.youtube.com/@ENGINEERINGTUTORIAL2468","a11yText":"ENGINEERING TUTORIAL. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":694,"text":"11:34","a11yText":"Süre 11 dakika 34 saniye","shortText":"11 dk."},"date":"8 nis 2022","modifyTime":1649376000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Z8nvGehGBsg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Z8nvGehGBsg","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":694},"parentClipId":"14252007410179826071","href":"/preview/14252007410179826071?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/14252007410179826071?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"41640573347397137":{"videoId":"41640573347397137","title":"\u0007[Dot\u0007] \u0007[Product\u0007] and Projection","cleanTitle":"Dot Product and Projection","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_f_6jUdnEFQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_f_6jUdnEFQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZGFfUkpVOS14QjBIc3djcmpuNFNLdw==","name":"Jamie King","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Jamie+King","origUrl":"http://www.youtube.com/@JamieKingCS","a11yText":"Jamie King. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":497,"text":"8:17","a11yText":"Süre 8 dakika 17 saniye","shortText":"8 dk."},"views":{"text":"12bin","a11yText":"12 bin izleme"},"date":"31 tem 2012","modifyTime":1343692800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_f_6jUdnEFQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_f_6jUdnEFQ","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":497},"parentClipId":"41640573347397137","href":"/preview/41640573347397137?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/41640573347397137?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3744212534889811015":{"videoId":"3744212534889811015","title":"\u0007[Dot\u0007] \u0007[Product\u0007] & Vector Projection Explained | Find Angles & Components in 2D & 3D","cleanTitle":"Dot Product & Vector Projection Explained | Find Angles & Components in 2D & 3D","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=DGWqsz5I8C4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DGWqsz5I8C4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDb2hCTkQ0SlJVNlI2UVVzX0pDalNIZw==","name":"Math and Engineering Made Easy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+and+Engineering+Made+Easy","origUrl":"http://www.youtube.com/@Egyptian_Dr.Mohamed","a11yText":"Math and Engineering Made Easy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1881,"text":"31:21","a11yText":"Süre 31 dakika 21 saniye","shortText":"31 dk."},"date":"26 ağu 2025","modifyTime":1756166400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DGWqsz5I8C4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DGWqsz5I8C4","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":1881},"parentClipId":"3744212534889811015","href":"/preview/3744212534889811015?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/3744212534889811015?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7693276920304999537":{"videoId":"7693276920304999537","title":"\u0007[dot\u0007] \u0007[product\u0007]","cleanTitle":"dot product","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=OHv_gnIeO2s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/OHv_gnIeO2s?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDLVduSzdpZl9vOTV6X2I2dEhEcmNkUQ==","name":"Eduphile","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Eduphile","origUrl":"http://www.youtube.com/@Eduphile","a11yText":"Eduphile. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":898,"text":"14:58","a11yText":"Süre 14 dakika 58 saniye","shortText":"14 dk."},"views":{"text":"1,2bin","a11yText":"1,2 bin izleme"},"date":"22 tem 2024","modifyTime":1721606400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/OHv_gnIeO2s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=OHv_gnIeO2s","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":898},"parentClipId":"7693276920304999537","href":"/preview/7693276920304999537?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/7693276920304999537?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1316440692208630648":{"videoId":"1316440692208630648","title":"\u0007[Dot\u0007] \u0007[Product\u0007] Explained Visually. Physics & Math Guide","cleanTitle":"Dot Product Explained Visually. Physics & Math Guide","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8lQ9eeRQvxk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8lQ9eeRQvxk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDTGdlNTd2dkZEQU1pTU92WTBlZ3hwdw==","name":"Physics Numericals with Aabid Sir","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Physics+Numericals+with+Aabid+Sir","origUrl":"http://www.youtube.com/@waniaabid4495","a11yText":"Physics Numericals with Aabid Sir. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":442,"text":"7:22","a11yText":"Süre 7 dakika 22 saniye","shortText":"7 dk."},"date":"17 nis 2025","modifyTime":1744848000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8lQ9eeRQvxk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8lQ9eeRQvxk","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":442},"parentClipId":"1316440692208630648","href":"/preview/1316440692208630648?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/1316440692208630648?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14811746038038338537":{"videoId":"14811746038038338537","title":"The \u0007[Dot\u0007] \u0007[Product\u0007] of 3D Vectors – Simple and Clear Explanation","cleanTitle":"The Dot Product of 3D Vectors – Simple and Clear Explanation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=wOrdhFJ7ZkQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/wOrdhFJ7ZkQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVERCZ2FOaDlaMGxOa1oxZmMzX01qdw==","name":"Master Cours","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Master+Cours","origUrl":"http://www.youtube.com/@master-cours","a11yText":"Master Cours. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":98,"text":"1:38","a11yText":"Süre 1 dakika 38 saniye","shortText":"1 dk."},"date":"13 mayıs 2025","modifyTime":1747094400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/wOrdhFJ7ZkQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=wOrdhFJ7ZkQ","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":98},"parentClipId":"14811746038038338537","href":"/preview/14811746038038338537?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/14811746038038338537?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1787444110442225591":{"videoId":"1787444110442225591","title":"The real world applications of the \u0007[dot\u0007] \u0007[product\u0007]","cleanTitle":"The real world applications of the dot product","host":{"title":"YouTube","href":"http://www.youtube.com/live/TBpDMLCC2uY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TBpDMLCC2uY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcENTQWNicXMtc2pFVmZrX2hNZlk5dw==","name":"Zach Star","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Zach+Star","origUrl":"http://www.youtube.com/@zachstar","a11yText":"Zach Star. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":768,"text":"12:48","a11yText":"Süre 12 dakika 48 saniye","shortText":"12 dk."},"views":{"text":"271,2bin","a11yText":"271,2 bin izleme"},"date":"16 haz 2020","modifyTime":1592319616000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TBpDMLCC2uY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TBpDMLCC2uY","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":768},"parentClipId":"1787444110442225591","href":"/preview/1787444110442225591?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/1787444110442225591?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5564596137825338746":{"videoId":"5564596137825338746","title":"\u0007[Dot\u0007] \u0007[Product\u0007] | Question 2 | Scalars And Vectors | Basic Physics","cleanTitle":"Dot Product | Question 2 | Scalars And Vectors | Basic Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=BeWDDp4Wi2s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/BeWDDp4Wi2s?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMkpKVFo3b25xN0NNUkR1eE9FUzN5QQ==","name":"ENGINEERING TUTORIAL","isVerified":false,"subscribersCount":0,"url":"/video/search?text=ENGINEERING+TUTORIAL","origUrl":"http://www.youtube.com/@ENGINEERINGTUTORIAL2468","a11yText":"ENGINEERING TUTORIAL. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":769,"text":"12:49","a11yText":"Süre 12 dakika 49 saniye","shortText":"12 dk."},"date":"7 nis 2022","modifyTime":1649289600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/BeWDDp4Wi2s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=BeWDDp4Wi2s","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":769},"parentClipId":"5564596137825338746","href":"/preview/5564596137825338746?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/5564596137825338746?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6691880653773756030":{"videoId":"6691880653773756030","title":"[26] Application Of \u0007[Dot\u0007] \u0007[Product\u0007]: Workout Problems","cleanTitle":"[26] Application Of Dot Product: Workout Problems","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=B4sROcHHyU4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/B4sROcHHyU4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWk5UVkdjT3k0WlppVS1VSC1RV1VTZw==","name":"Physics360","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Physics360","origUrl":"http://www.youtube.com/@Phy360","a11yText":"Physics360. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1129,"text":"18:49","a11yText":"Süre 18 dakika 49 saniye","shortText":"18 dk."},"date":"23 eki 2022","modifyTime":1666483200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/B4sROcHHyU4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=B4sROcHHyU4","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":1129},"parentClipId":"6691880653773756030","href":"/preview/6691880653773756030?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/6691880653773756030?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17962396848100913032":{"videoId":"17962396848100913032","title":"The \u0007[Dot\u0007] \u0007[Product\u0007] - A Visual Explanation","cleanTitle":"The Dot Product - A Visual Explanation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2PrSUK1VrKA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2PrSUK1VrKA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDN00tV3o0eks4b2lrdDZBVGNvVHdCQQ==","name":"Freya Holmér","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Freya+Holm%C3%A9r","origUrl":"http://www.youtube.com/@acegikmo","a11yText":"Freya Holmér. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":109,"text":"1:49","a11yText":"Süre 1 dakika 49 saniye","shortText":"1 dk."},"views":{"text":"143,8bin","a11yText":"143,8 bin izleme"},"date":"5 ağu 2019","modifyTime":1564963200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2PrSUK1VrKA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2PrSUK1VrKA","reqid":"1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL","duration":109},"parentClipId":"17962396848100913032","href":"/preview/17962396848100913032?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","rawHref":"/video/preview/17962396848100913032?parent-reqid=1769648403673173-1548931851589659732-balancer-l7leveler-kubr-yp-sas-136-BAL&text=Dot_Productions","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"5489318515896597327136","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Dot_Productions","queryUriEscaped":"Dot_Productions","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}