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A unit vector perpendicular to the plane...

A unit vector perpendicular to the plane of `vec a = 2i-6j-3k` and `vec b = 4i+3j-k` is

A

`1/sqrt26(4i+3j-k)`

B

`1/7(2i-6j-3k)`

C

`1/7(3i-2j+6k)`

D

`1/7 (2i-3j-6k)`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  3. If pi(1) and pi(2) be two planes determined by the pairs of vectors ve...

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  6. If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a...

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  8. Let vec a, vec b and vec c be three vectors. Then scalar triple produc...

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  9. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

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  10. A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b...

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  11. A vector coplanar with vector i+j and j+k and parallel to the vector 2...

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  12. Let vec a = 2i+j-2k and vec b = i+j. If vec c is a vector such that ...

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  18. If [vec a, vec b, vec c] = 3 then the volume (in cubic units) of the p...

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