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If vec(A)xxvec(B)=vec(B)xxvec(A), then t...

If `vec(A)xxvec(B)=vec(B)xxvec(A)`, then the angle between `vec(A)` and `vec(B)` is-

A

`pi`

B

`pi//3`

C

`pi//2`

D

`pi//4`

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(A)xxvec(B)=vec(B)xxvec(A)`
This is only possible if the value of both vectors `vec(A)xxvec(B)` and `vec(B)xxvec(A)` is zero. This occurs when the angle between `vec(A)` and `vec(B)` is `pi`.
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