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Let `veca,vec b,vec c` are three vectors along the adjacent edges ofa tetrahedron, if `|vec a|=|vec b|=|vec c|=2` and `vec a*vec b=vec b*vec c=vec c * vec a=2` then volume of tetrahedron is (A) `1/sqrt2` (B) `2/sqrt3` (C) `sqrt3/2` (D) `2sqrt2/3`

A

`(1)/(sqrt(2))`

B

`(2)/(sqrt(3))`

C

`(sqrt(3))/(2)`

D

`(2sqrt(2))/(3)`

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The correct Answer is:
D
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