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The edges of a parallelopiped of unit le...

The edges of a parallelopiped of unit length are parallal 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 parallelopiped whose edges are `hat a xx hat b`,`hat b xx hat c`,`hat c xx hat a` is

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