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If vec(A) xx vec(B) = vec(B) xx vec(A), ...

If `vec(A) xx vec(B) = vec(B) xx vec(A)`, then the angle between `A to B` is

A

`pi//4`

B

`pi//2`

C

`pi//3`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Given `vec A xx vec B = vec B xx vec A`
But `vec A xx vec B = vec C and vec B xx vec A =-vec C`
Thus the two vectors have the same magnitude but are oppositely directed.
`therefore` The angle between them is `pi`.
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