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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 `hat(a), hat(b), hat(c)` such that `hat(a)*hat(b)=hat(b)*hat(c)=hat(c)*hat(a)=(1)/(2).` Then, the volume of the parallelopiped is

A

`1/sqrt(2)` cu units

B

`1/(2sqrt(2))` cu. Units

C

`sqrt(3)/2` cu. Units

D

`1/sqrt(3)` units

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The correct Answer is:
A
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