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Mathematics - Vector Question with Solution | TestHub

MathematicsVectorDot Product & Its Application ( Projection etc.)Medium2 minPYQ_2021
MathematicsMediumsingle choice

In a triangleABC, if|BC→|=8,|CA→|=7,|AB→|=10, then the projection of the vectorAB→onAC→is equal to :

Question diagram: In a triangle A B C , if | B C → | = 8 , | C A → | = 7 , | A

Options:

Answer:
B
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

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Dot Product & Its Application ( Projection etc.)
⏱ 2mℹ️ Source: PYQ_2021

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