If ` vec a , vec ba n d vec c` are non-coplanar vectors, prove that the four points `2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec c ,3 vec a+` 4` vec b-2 vec ca n d vec a-6 vec b+6 vec c` are coplanar.

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

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

If vec a,vec b,vec c are non coplanar vectors,prove that the following vectors are non coplanar: 2vec a-vec b+3vec c,vec a+vec b-2vec c and vec a+vec b-3vec c

If vec a,vec b,vec c are non coplanar vectors,prove that the following vectors are non coplanar: vec a+2vec b+3vec c,2vec a+vec b+3vec c and vec a+vec b+vec c

If vec a, vec b and vec c are non coplaner vectors such that vec b xxvec c = vec a, vec c xxvec a = vec b and vec a xxvec b = vec c then | vec a + vec b + vec c | =

[vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a, vec b, vec c]

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-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.

If vec a , vec ba n d vec c are three non coplanar vectors, then prove that vec d=( vec adot vec d)/([ vec a vec b vec c])( vec bxx vec c)+( vec bdot vec d)/([ vec a vec b vec c])( vec cxx vec a)+( vec cdot vec d)/([ vec a vec b vec c])( vec axx vec b)

vec a, vec b ,, vec c are coplanar vectors, prove that vec a, vec b, vec cvec with a, vec with b, vec a, vec with bvec a, vec bvec b, vec b, vec a] | = 0