1.

If vec(A)=2hati + 3hatj and vec(B)=hati + hatj, then the vector component of vec(A) in the direction of vec(B) is :

Answer»

`(hati + HATJ)`
`2.5(hati + hatj)`
`2(hati + hatj)`
`3(hati + hatj)`

SOLUTION :Here COMPONENT of A in the direction of `vec(B)` is
`ACOSTHETA=((Acostheta)B)/B`
`=(ABcostheta)/B=(vec(A).vec(B))/B=(vec(A)vec(B))/B(vec(B)/B)`
`=5/sqrt(2)(hati+hatj)/sqrt(2)=2.5(hati+hatj)`


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