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

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 -

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 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: 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 are two non-collinear vectors, prove that the points with position vectors vec a+ vec b , vec a- vec b and vec a+lambda vec b are collinear for all real values of lambdadot

If vec a , vec b are two non-collinear vectors, prove that the points with position vectors vec a+ vec b , vec a- vec b and vec a+lambda vec b are collinear for all real values of lambdadot