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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 `hata,hatb,hatc` such that hata.hatb=hatb.hatc=hatc.hata1/2` Then the volume of the parallelopiped is (A) `1/sqrt(2)` (B) `1/(2sqrt(2))` (C) `sqrt(3)/2` (D) 1/sqrt(3)`

A

`1/sqrt(2)` cu units

B

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

C

`sqrt(3)/2` cu. Units

D

`1/sqrt(3)` units

Text Solution

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The correct Answer is:
A
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