If A¯=2i^+3j^ and B¯=i^+j^ , then the vector component of A¯ in the direction of B¯ is
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a
i^+j^
b
2(i^+j^)
c
2.5(i^+j^)
d
3.5(i^+j^)
answer is C.
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Detailed Solution
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^)