Check whether the following sets of three points are collinear: `-2veca+3vecb+5vecc, veca+2vecb+3vecc, 6veca-vecc`

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-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

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

If veca, vecb and vecc are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc .

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

The position vector of three points are 2veca-vecb+3vecc , veca-2vecb+lambdavecc and muveca-5vecb where veca,vecb,vecc are non coplanar vectors. The points are collinear when

If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

Show that the three points whose position vectors are veca-2vecb+3vecc, 2veca+3vecb-4vecc, -7vecb+10vecc are collinear

Show that the points veca+2vecb+3c,-2veca+3vecb+5vecc and 7veca-vecc are colinear.