The three vectors hati+hatj, hatj+hatk, ...

The three vectors `hati+hatj, hatj+hatk, hatk+hati` taken two at a time form three planes. The three unit vectors drawn perpendicular to these three planes form a parallelopiped of volume.

A

`1/3` cubic units

B

4 cubic units

C

`(3sqrt(3))/4` cubic units

D

`4/(3sqrt(3))` cubit units

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The correct Answer is:

D

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