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Let vec a , vec b ,and vec c be any thr...

Let ` vec a , vec b ,and vec c` be any three vectors, then prove that [`vec axx vec b vec bxx vec c vec cxx vec a`]=`[vec a vec b vec c]^2`

Text Solution

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`[vecaxxvecb" "vecbxxvecc " " veccxxveca]=(vecaxxvecb).((vecbxxvecc)xx(veccxxveca))`
`= (veca xxvecb).[[vecbveccveca]vecc-[vecbvecc vecc]veca]`
`= [veca vecbvecc]^(2)`
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