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Let veca, vecb , vecc be non -coplanar v...

Let `veca, vecb , vecc` be non -coplanar vectors and let equations `veca', vecb', vecc'` are reciprocal system of vector `veca, vecb ,vecc` then prove that `veca xx veca' + vecb xx vecb' + vecc xx vecc'` is a null vector.

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`veca xx veca' = (veca xx (vecb xx vecc))/([veca vecb vecc])= (veca.vecc)vecb - (veca .vecb)vecc)/([veca vecb vecc]) `
similarly, `vecb xx veb' = ((vecb .veca)vecc- (vecc.vecc)veca)/[veca vecb vecc] `
`and vecc xx vecc' = ((vecc. Vecb) veca - (veca .veca) vecb)/[veca vecb vecc]`
so `vecaxx veca'+vecbxxvecb' +veccxxvecc' =0`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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