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)

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

Show that the vectors vec a - vec b, vec b - vec c , vec c - vec a are coplaner.

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-2 vec b+3 vec c ,-2 vec a+3 vec b+2 vec ca n d-8 vec a+13 vec b are collinear whatever be vec a , vec b , vec cdot

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 vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ vec b ,\ vec b+ vec c ,\ vec c+ vec a are coplanar.

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

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

Show that the point A ,B ,C with position vectors vec a-2 vec b+3 vec c ,2 vec a+3 vec b-4 vec c and -7 vec b+10 vec c are collinear.

Show that the point A ,B ,C with position vectors vec a-2 vec b+3 vec c ,2 vec a+3 vec b-4 vec c and -7 vec b+10 vec c are collinear.