Show that the vectors `2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c` are non-coplanar vectors (where ` vec a , vec b , vec c` are non-coplanar vectors)

Prove that the four points 2vec a+2vec b-vec c,vec a-2vec b+3vec c,3vec a+4vec b-2vec c and vec a-6vec b+6vec c are non coplanar,where vec a.vec b.vec c are non-coplanar vectors.

Show that the vectors vec a,vec b and vec c are coplanar if vec a+vec b,vec b+vec c and vec c+vec a are coplanar.

Show that the vectors vec a,vec b and vec c are coplanar if vec a+vec b,vec b+vec c and vec c+vec a are coplanar.

Show that the vectors vec a-2vec b+3vec c,vec a-3vec b+5vec c and -2vec a+3vec b-4vec c are coplanar,where vec a,vec b,vec c are non-coplanar.

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

Show that the points with position vectors vec a-2vec b+3vec c,-2vec a+3vec b-vec c and 4vec a-7vec b+7vec c are collinear.

36. If vec a, vec b, vec c and vec d are unit vectors such that (vec a xx vec b) .vec c xx vec d = 1 and vec a.vec c = 1/2 then a) vec a, vec b and vec c are non-coplanar b) vec b, vec c, vec d are non -coplanar c) vec b, vecd are non parallel d) vec a, vec d are parallel and vec b, vec c are parallel

Let vec a,vec b and vec c, be non-zero non-coplanar vectors. Prove that: vec a-2vec b+3vec c,-2vec a+3vec b-4vec c and vec c-3vec b+5vec c are coplanar vectors. 2vec a-vec b+3vec c,vec a+vec b-2vec c and vec a+vec b-3vec c are non-coplanar vectors.

If vec a,vcb and vec c are non-coplanar vectors, then show that vec a+vec b,vec b+vec c and vec c+vec a are also non-coplanar

Show that the vectors vec a,vec b,vec c are coplanar if and only if vec a+vec b,vec b+vec c and vec c+vec a are coplanar.