If the three vectors ` vec a+ vec b , vec b+ vec c` and ` vec c+ vec a` are also coplanar.

If the three vectors vec a,vec b,vec c are coplanar, prove that the vectors vec a+vec b,vec b+vec c and vec c+vec a are also coplanar.

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 2vec a-vec b+3vec c,vec a+vec b-2vec c and vec a+vec b-3vec c are non-coplanar vectors (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.

The vectors vec a,vec b,vec c,vec d are coplanar then

Let vec a, vec b, vec b, vec b are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c = 3 and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then

Let vec a, vec b, vec c are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then

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.

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.