The three vectors hat i+hat j,hat j+hat ...

The three vectors `hat i+hat j,hat j+hat k, hat k+hat i` taken two at a time form three planes, The three unit vectors drawn perpendicular to these 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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