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Questions  

If A¯=2i^+3j^  and B¯=i^+j^ , then the vector component of A¯  in the direction of B¯  is

a
i^+j^
b
2(i^+j^)
c
2.5(i^+j^)
d
3.5(i^+j^)

detailed solution

Correct option is C

Scalar component of A¯  in the direction of B¯ isAcosθ=A¯.B¯|B¯|Vector component in the direction of B¯=  (Scalar component) (Unit vector along B¯ )=[A¯.B¯|B¯|]B¯|B¯|As A¯=2i^+3j^  and B¯=i^+j^A¯.B¯=2+3=5 , |B¯|=12+12=2⇒  Vector component in the direction ofB=(52)(i^+j2)=52(i^+j^)=2.5(i^+j^)

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