A unit vector perpendicular to each of t...

A unit vector perpendicular to each of the vectors a+b and a-b, where ` a= 3hati + 2hatj + 2hatk` and `b= `hati + 2hatj -2hatk` is

A

`1/3 hati - 1/3 hat j - 1/3 hatk` or `-1/3 hat i+ 1/3 hatj + 1/3 hatk`

B

`4/3 hati - 4/3 hat j - 4/3 hatk` or `-4/3 hat i + 4/3 hatj + 4/3 hatk`

C

`2/3 hati - 2/3 hat j - 1/3 hatj` or `-2/3 hat i + 2/3 hatj + 1/3 hatk`

D

None of the above

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The correct Answer is:

C

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