If ` vec a ,\ vec b ,\ vec c` are non coplanar vectors, prove that the following vectors are non coplanar:`\ 2 vec a- vec b+3 vec c ,\ vec a+ vec b-2 vec c\ a n d\ vec a+ vec b-3 vec c`

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

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 a ,\ b ,\ c are non zero non coplanar vectors, prove that the following vectors are coplanar. 5 vec a+6 vec b+7 vec c ,\ 7 vec a-8 vec b+9 vec c\ a n d\ 3 vec a+20 vec b+5 vec 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 a,b,c are non zero non coplanar vectors,prove that the following vectors are coplanar.5vec a+6vec b+7vec c,7vec a-8vec b+9vec c and 3vec a+20vec b+5vec c

If a ,\ b ,\ c are non coplanar vectors prove that the points having the following position vectors are collinear: vec a ,\ vec b ,\ 3 vec a-2 vec b

If vec a , vec b and vec c are non-coplanar vectors, prove that vectors 3vec a-7 vec b-4 vec c ,3 vec a -2 vec b+ vec c and vec a + vec b +2 vec c are coplanar.

If vec a , vec b and vec c are non-coplanar (independent) vectors, prove that the vectors vec a- 2 vec b+ 3 vec c , -2 vec a + 3 vec b- 4 vec c and vec a -vec b+ 2 vec c are also linearly independent.

If a,b,c are non coplanar vectors prove that the points having the following position vectors are collinear: vec a,vec b,3vec a-2vec b

If a,b, are non coplanar vectors prove that the points having the following position vectors are collinear: vec a+vec b+vec c,4vec a+3vec b,10vec a+7vec b-2vec -