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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

`(hatAxxhatB`)/(ABsintheta)`

B

`(hatAxxhatB)/(ABcostheta)`

C

`(vecAxxvecB)/(ABsintheta)`

D

`(vecAxxvecB)/(ABcostheta)`

Text Solution

Verified by Experts

The correct Answer is:
C
Vector perpendicular to A to B, `vecAxxvecB=Absinthetahatn`
Unit vector perpendicular to A and B.
`hatn=(vecAxxvecB)/(|vecA|xx|vecB|sintheta)`
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