i. If vec a , vec b a n d vec c a...

i. If vec a , vec b a n d vec c ` are non-coplanar vectors, prove that vectors `3veca -7vecb -4 vecc ,3 veca -2vecb + vecc ` and ` veca + vecb +2 vecc ` are coplanar.

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i. If veca, vecb and vecc are non-coplanar vectors, prove that vectors 3veca-7vecb-4vecc, 3veca-2vecb+vecc and veca+vecb+2vecc are coplanar.

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If veca, vecb, vecc are non-coplanar vectors, prove that the following vectors are coplanar. (i) 3veca - 7vecb - 4vecc, 3veca - 2vecb + vecc, veca + vecb + 2vecc (ii) 5veca +6vecb + 7vecc, 7veca - 8vecb + 9vecc, 3veca + 20 vecb + 5vecc

If veca, vecb and vecc are three non-coplanar non-zero vectors, then prove that (veca.veca) vecb xx vecc + (veca.vecb) vecc xx veca + (veca.vecc)veca xx vecb = [vecb vecc veca] veca

If veca, vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,7vecb-9vecc,12vecc-23veca)]

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