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veca ,vecb and vecc are unimodular and c...

`veca ,vecb and vecc` are unimodular and coplanar. A unit vector `vecd` is perpendicualt to them , `(veca xx vecb) xx (vecc xx vecd) = 1/6 hati - 1/3 hatj + 1/3 hatk` , and the angle between `veca and vecb is 30^(@)` then `vecc` is

A

`(1)/(3)hati-(2)/(3)hatj+(2)/(3)hatk`

B

`(2)/(7)hati-(3)/(7)hatj+(6)/(7)hatk`

C

`3hati-4hatj+12hatk`

D

`(1)/(sqrt3)hati-(1)/(sqrt3)hatj+(1)/(sqrt3)hatk`

Text Solution

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The correct Answer is:
A
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