Examine whather followig vectors are coplanar or not: `5veca +6vecb + 7vecc, 7veca - 8vecb + 9vecc, 3veca + 20 vecb + 5vecc`

If veca,vecb,vecc are non zero and non coplanar vectors show that the following vector are coplanar: 5veca+6vecb+7vecc,7veca-8vecb+9vecc, 3veca+20vecb+5vecc

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,vecc are non zero and non coplanar vectors show that the following vector are coplanar: 2veca-3vecb+4vecc, -veca+3vecb-5vecc,-veca+2vecb-3vecc

[ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb vecc ] , then

If veca,vecb,vecc are non coplanar vectors, check whether the following points are coplanar: 6veca+2vecb-vecc, 2veca+vecb+3vecc, -veca+2vecb-4vecc, -12veca-vecb-3vecc

If veca,vecb,vecc are non zero and non coplanar vectors show that the following vector are coplanar: 4veca+5vecb+vecc, -vecb-vecc, 5veca+9vecb+4vecc

Examine whether the following vectors from a linearly dependent or independent set of vector: veca-3vecb+2vecc, veca-9vecb-vecc,3veca+2vecb-vecc where veca,vecb,vecc are non zero non coplanar vectors

If veca,vecb,vecc are non coplanar vectors, prove that the following points are coplanar: 6veca-4vecb+10vecc, -5veca+3vecb-10vecc, 4veca-6vecb-10vecc,2vecb+10vecc

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) = 2 veca.vecb xx vecc .

For any four vectors, prove that ( veca × vecb )×( vecc × vecd )=[ veca vecc vecd ] vecb −[ vecb vecc vecd ] veca