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Eğitmen, iki vektörün skaler çarpımı konusunu anlatmaktadır.","Video, iki vektörün skaler çarpımının formülünü (a çarpı b = a çarpı b çarpı cos alpha) açıklayarak başlıyor ve bu çarpımın vektörel verilerin (hız gibi) hesaplanmasında önemini vurguluyor. Eğitmen, vektörlerin paralel, dik veya ters yönde olması durumlarında skaler çarpımın nasıl hesaplanacağını, i, j, k eksenlerinin birbirleriyle çarpımlarını ve skaler çarpımın pratik uygulamalarını örneklerle açıklıyor. Video, yer değiştirme ve kuvvetin büyüklüklerini hesaplama, aradaki açıyı bulma ve değişken bir kuvvetin yaptığı iş gibi konuları içermektedir."]},"endTime":381,"title":"İki Vektörün Skaler Çarpımı Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"İki Vektörün Skaler Çarpımı","list":{"type":"unordered","items":["İki vektörün skaler çarpımı, vektörel cinsten verilen verileri işlemek için önemlidir.","İki vektörün skaler çarpımının genel formülü a × b = |a| × |b| × cos(α) şeklindedir.","Vektörler birbirine dikse (α = 90°) çarpım sıfırdır, paralel ve aynı yönde ise çarpım vektörlerin uzunluğuna eşittir."]},"beginTime":0,"endTime":104,"href":"/video/preview/3236601092517577015?parent-reqid=1769765765634766-15330853119925935156-balancer-l7leveler-kubr-yp-vla-190-BAL&text=LeewayeDiscGolf&t=0&ask_summarization=1"},{"index":1,"title":"Vektör Eksenleri ve Özel Durumlar","list":{"type":"unordered","items":["i, j, k vektörleri kendi aralarında çarpıldığında 1 değerini verir, farklı eksenler çarpıldığında 0° değerini verir.","x, y, z eksenleri birbirine dik olduğundan, aynı eksenlerin çarpımı 1, farklı eksenlerin çarpımı 0° değerini verir.","Vektörler için i, j, k şeklinde kodlama yapılabilir."]},"beginTime":104,"endTime":167,"href":"/video/preview/3236601092517577015?parent-reqid=1769765765634766-15330853119925935156-balancer-l7leveler-kubr-yp-vla-190-BAL&text=LeewayeDiscGolf&t=104&ask_summarization=1"},{"index":2,"title":"Örnek Sorular","list":{"type":"unordered","items":["Vektörlerin skaler çarpımı hesaplanırken, aynı bileşenler çarpılıp toplanır, farklı bileşenler çarpılmaz.","Vektörler arasındaki açı, vektörlerin uzunlukları ve skaler çarpımı kullanılarak bulunabilir.","Yer değiştirme ve kuvvet büyüklükleri, vektörlerin skaler çarpımı kullanılarak hesaplanabilir."]},"beginTime":167,"endTime":413,"href":"/video/preview/3236601092517577015?parent-reqid=1769765765634766-15330853119925935156-balancer-l7leveler-kubr-yp-vla-190-BAL&text=LeewayeDiscGolf&t=167&ask_summarization=1"}],"linkTemplate":"/video/preview/3236601092517577015?parent-reqid=1769765765634766-15330853119925935156-balancer-l7leveler-kubr-yp-vla-190-BAL&text=LeewayeDiscGolf&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Serway Fizik Konu Anlatımı (Fizik 1) # 16. 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