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Two vectors vecP and vecQ are inclined t...

Two vectors `vecP and vecQ` are inclined to each other at angle `theta`. Which of the following is the unit vector perpendicular to `vecP and vecQ` ?

A

`(vecPxx vecQ)/(P*Q)`

B

`(PxxhatQ)/(sintheta)`

C

`(hatPxxhatQ)/(PQ sin theta)`

D

`(hatPxx vecQ)/(PQ sin theta)`

Text Solution

Verified by Experts

The correct Answer is:
2
`vecPxxvecQ = (PQ sin theta)hatn`
`hatn` is a vector `bot ` to plane of `vecP and vecQ`
`hatn= (vecPxx vecQ)/(PQ sin theta) = ((vecP)/(P))xx ((vecQ)/(Q))xx (1)/(sintheta = (hatPxx hatQ)/(sin theta)`
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