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`

HINT


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

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