The edges of a parallelopiped are of uni...

The edges of a parallelopiped are of unit length and are parallel
to non-coplanar unit vectors `vec a, vec b, vec c` such that `hat a.hatb=hatb .hatc=hatc.hata=1/2`.
Then, the volume of parallelopiped is

A

(a) `1/sqrt2` cubic units

B

(b) `(1)/(2sqrt2)` cubic units

C

(c) `(sqrt3)/(2)` cubic units

D

(d) `(1)/(sqrt3)` cubic units

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The correct Answer is:

A

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