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If volume of parallelopiped whose there ...

If volume of parallelopiped whose there coterminous edges are `vec u = hat i + hat j + lambda hat k, vec v = 2 hati + hat j + hatk, vecw = hati+hatj+3hatk`, is 1 cubic unit then cosine of angle between `vec u` and `vecv` is

A

`(7)/(6sqrt6)`

B

`(5)/(7)`

C

`(7)/(6sqrt3)`

D

`(5)/(3sqrt3)`

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The correct Answer is:
c
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