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Which of the following is the unit vecto...

Which of the following is the unit vector perpendicular to `vec(A)` and `vec(B)`?

A

`(hat(A)xxhat(B))/(AB sin theta)`

B

`(hat(A)xxhat(B))/(AB cos theta)`

C

`(vec(A)xxvec(B))/(AB sin theta)`

D

`(vec(A)xxvec(B))/(AB cos theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
Vector perpendicular to A and B, `vec(A)xxvec(B)= AB sin theta hat(n)`
`:.` Unit vector perpendicular to A and B
`hat(n)=(vec(A)xxvec(B))/(|vec(A)|xx|vec(B)|sin theta)`
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