A unit vector coplanar with hati + hatj ...

A unit vector coplanar with `hati + hatj + 2 hatk and hati + 2 hatj + hatk,` and perpendicular to `hati + hatj + hatk ` is : a)`((hatj - hatk )/( sqrt2))` b)`((hati + hatj+ hatk )/( sqrt3))` c)`((hati + hatj + 2 hatk )/( sqrt6))` d)`((hati + 2 hatj + hatk )/( sqrt6))`

A

`hatj - hatk `

B

` (hati +hatk )/(sqrt2)`

C

` (hatj +hatk )/(sqrt2)`

D

` (hatj - hatk )/(sqrt2)`

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The correct Answer is:

D

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