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Let vec(A)=hat(i)A cos theta+hat(j)A sin...

Let `vec(A)=hat(i)A cos theta+hat(j)A sin theta`, be any vector. Another vector `vec(B)` which is normal to `vec(A)` is :-

A

`B costheta hati +B sin thetahatj`

B

`B sin theta hati +B cos thetahatj`

C

`B sin theta hati - B cos thetahatj`

D

`A cos theta hati - A cos thetahatj`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(A)= A cos theta hati +A sin theta J`
We must have `vecA.vecB=0,`
which is cleaely satisfied by
`vec(B) =B sin theta hati -A cos theta hatj.`
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