Let a=3hati + 2hatj + 2hatk and b= hati ...

Let `a=3hati + 2hatj + 2hatk` and `b= hati + 2hatj - 2hatk` be two vectors. If a vector perpendicular to both the `a + b` and `a-b` has the magnitude 12, then one such vector is:

A

`4(2hati + 2hatj + hatk)`

B

`4(2hati + 2hatj - hatk)`

C

`4(2hati - 2hatj - hatk)`

D

`4(-2hati -2hatj + hatk)`

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The correct Answer is:

C

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