Show that the vectors `veca-2vecb+3vecc,-2veca+3vecb-4vecc and - vecb+2vecc` are coplanar vector where `veca, vecb, vecc` are non coplanar vectors

Show that the vectors 2veca-vecb+3vecc, veca+vecb-2vecc and veca+vecb-3vecc are non-coplanar vectors (where veca, vecb, vecc are non-coplanar vectors).

Prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc,3veca+4vecb-2vecc and veca-6vecb+6vecc are coplanar where veca,vecb,vecc are non-coplanar vectors

If vecA,vecB and vecC are coplanar vectors, then

If veca,vecb,vecc are coplanar, show that veca+vecb, vecb+vecc, vecc+veca are also coplanar.

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

Prove that [vecaxxvecb, vecbxxvecc, veccxxveca] = [[veca.veca, veca.vecb, veca.vecc], [veca.vecb,vecb.vecb, vecb.vecc], [veca.vecc, vecb.vecc,vecc.vecc]] = [veca, vecb, vecc]^2,Hence show that vectors vecaxxvecb, vecbxxvecc, veccxxveca are non-coplanar if and only if vectors veca, vecb, vecc are non-coplanar

Show that the points having position vectors (veca-2vecb+3vecc),(-2veca+3vecb+2vecc),(-8veca+13vecb) re collinear whatever veca,vecb,vecc may be

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

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(veccxxvecd)=1 and veca.vecc=1/2 then (A) veca,vecb,vecc are non coplanar (B) vecb,vecc, vecd are non coplanar (C) vecb, vecd are non paralel (D) veca, vecd are paralel and vecb, vecc are parallel

If veca, vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,7vecb-9vecc,10vecc-23veca)]