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If vec a , vec b ,a n d vec c are three...

If ` vec a , vec b ,a n d vec c` are three non-coplanar non-zero vecrtors, then prove that `( vec adot vec a) vec bxx vec c+( vec adot vec b) vec cxx vec a+( vec adot vec c) vec axx vec b=[ vec b vec c vec a] vec adot`

A

always lies in the plane containing `vec a + vec b`

B

always lies in the plane containing `vec a - vec b`

C

can be zero

D

cannot be zero

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