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If a=hati+2hatj+3hatk, b=-hati+2hatj+hat...

If `a=hati+2hatj+3hatk, b=-hati+2hatj+hatk, c=hati+2hatj-2hatk, n` is perpendicular to both `a and b and theta` is the angle between c and n then `sin theta=`

A

`sqrt((2)/(3))`

B

`sqrt(2)/(3sqrt(3))`

C

`(2)/(sqrt(3))`

D

`(sqrt(3))/(2)`

Text Solution

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The correct Answer is:
B
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