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If vec(b)=3hat(i)+4hat(j) and vec(a)=hat...

If `vec(b)=3hat(i)+4hat(j)` and `vec(a)=hat(i)-hat(j)` the vector having the same magnitude as that of `vec(b)` and parallel to `vec(a)` is

A

`5/sqrt(2)(hat(i)-hat(j))`

B

`5/sqrt(2)(hat(i)+hat(j))`

C

`5(hat(i)-hat(j))`

D

`5(hat(i)+hat(j))`

Text Solution

Verified by Experts

The correct Answer is:
A
Let that vector be `vec(C )`. Then
`vec(C )=Chat(C)=bhat(a)=vec(C )=(bhat(a))/a=5/sqrt(2)(hat(i)-hat(j))`
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