If the vectors 2a - b + c, a + 2b - 3c, 3a + mb + 5c are linearly dependent, then m =

If the vectors (a, b, c), (b, c, a) and (c, a, b) are linealy dependent then

If the vectors vec a+vec b+vec c,vec a+lambdavec b+2vec c,-vec a+vec b+vec c are linearly dependent then lambda

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.

The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c are