In a triangle A B C , if | B C → | = 8 , | C A → | = 7 , | A B → | = 10 , then the…

In a triangle ABC, if |BC→|=8,|CA→|=7,|AB→|=10, then the projection of the vector AB→ on AC→ is equal to :
  1. 254
  2. 8514
  3. 12720
  4. 11516

Solution

a→=8,b→=7,c→=10

cosθ=|b→|2+|c→|2-|a→|22|b→||c→|=1728

Projection of c→ on b→

=|c→|cosθ

=10×1728

=8514

Asked in: JEE Main 2021 (18 Mar Shift 2)

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