The unit vector which is orthogonal to the vector 3hati + 2hatj + 6hat k and is coplanar with the vectors 2hatj + hat

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Q 2566178975.     The unit vector which is orthogonal to the vector 3hati + 2hatj + 6hat k and is coplanar with the vectors 2hatj + hat j + hat k and hat i -hat j + hat k is
JEE 2004 Prelims
A

(2 hat i - 6 hat j + hat k)/sqrt41

B

(2hat i - 5 hat j)/sqrt29

C

(3hatj - hatk)/sqrt10

D

(2 hat i - 8 hat j + 3 hat k)/sqrt69`

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(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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