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

If ` vec a , vec ba n d vec c` are three non-zero non-coplanar vectors, then the value of `(veca.veca)vecb×vecc+(veca.vecb)vecc×veca+(veca.vecc)veca×vecb.`

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As `veca ,vecb and vecc` are non- coplanar, `vecb xx veca,veccxxveca and vecaxxvecb` are also non-coplanar, So, any vector con be expressend as a linear combination of these vectors.
`veca=lambdavecbxxvecc+mu vecc xx veca+ v vecaxxvecb`
`veca.veca=lambda[vecbveccveca],veca.vecb=mu [vecc vecavecb], veca.vecc=v[vecavecbvecc]`
`veca=((veca.veca)vecbxxvecc)/([vecb veccveca])+((veca.vecb)veccxxveca)/([veccvecavecb])+((veca.vecc)vecaxxvecb)/([vecavecbvecc])`
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