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A unit vector coplanar with hati + hatj ...

A unit vector coplanar with `hati + hatj + 2hatk` and `hati + 2hatj + hatk` and perpendicular to `hati + hatj + hatk` is

A

`((hatj - hatk)/sqrt2))`

B

`((hati + hatj + hatk)/sqrt3))`

C

`((hati + hatj + 2hatk)/sqrt6))`

D

`((hati + 2hatj + hatk)/sqrt6))`

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The correct Answer is:
A
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