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For any three non zero non coplanar vectors `veca,vecb` and `vecc`,`(veca-2vecb+vecc)*((vecb-2vecc+veca)xx(vecc-2veca+vecb))` is equal to

For any three non zero non coplanar vectors `veca,vecb` and `vecc`,`(veca-2vecb+vecc)*((vecb-2vecc+veca)xx(vecc-2veca+vecb))` is equal to

A.

`3[veca vecb vecc]`

B.

`2[veca vecb vecc]`

C.

`[veca vecb vecc]`

D.

0

Solution

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Best answer

`sum(veca-2vecb+vecc)=0`, so vectors `veca-2vecb+vecc,vecb-2vecc+veca` and `vecc-2veca+vecb` are coplanar and their scalar triple product is 0.