Show that the points having position vectors `vec(a), vec(b),(vec(c)=3 vec(a)- 2 vec(b))` are collinear, whatever be `vec(a),vec(b),vec(c).`

Show that the points with position vectors vec a-2vec b+3vec c,-2vec a+3vec b+2vec c and -8vec a+13vec b are collinear whatever be vec a,vec b,vec c .

Show that the points having position vectors (-2vec(a) + 3 vec(b)+5vec(c)),(vec(a)+ 2 vec(b)+ 3 vec(c)) and (7vec(a)- vec(c)) are collinear, whatever be vec(a),vec(b),vec(c).

Show that the points whose position vectors are vec(a) + 2vec(b) + 5vec(c), 3vec(a) + 2vec(b) + vec(c), 2vec(a) + 2vec(b) + 3vec(c) are colliner.

Prove that the four points with position vectors 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.

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

If vec(a), vec(b), vec(c) are three given vectors, show that the points having vectors 7vec(a)-vec(c), vec(a)+2vec(b) " and " -2vec(a)+3vec(b)+0.5vec(c) are collinear.

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.

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

Show that the points with position vectors vec a- 2 vec b+ 3 vec c , -2 vec a + 3 vec b+ 2 vec c and -8 vec a + 13 vec b are collinear, whatever vec a , vec b and vec c may be.

Prove that the points A,B and C with position vectors vec a,vec b and vec c respectively are collinear if and only if vec a xxvec b+vec b xxvec c+vec c xxvec a=vec 0