Let co-ordinates of a point 'p' with respectto the system non-coplanar vectors `veca, vecb and vecc` is (3, 2, 1). Then, co-ordinates of 'p'with respect to the system of vectors `vec a+vec b+vec c,vec a-vecb+vec c. vec a+vec b- vec c`

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.

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

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 three non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ 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: vec a+2vec b+3vec c,2vec a+vec b+3vec c and vec a+vec b+vec c

What is the value of [vec a vec b vec c] if vec a, vec b, vec c are non-zero coplanar vectors ?

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

If vec a, vec b, vec c are three given vectors show that [ vec a + vecb + vec c , vecb + vec c , vec a + vec b + vec c ]=0.

Let vec a , vec b ,a n d vec c be non-coplanar vectors and let the equation vec a^' , vec b^' , vec c ' are reciprocal system of vector vec a , vec b , vec c , then prove that vec axx vec a^'+ vec bxx vec b^'+ vec cxx vec c ' is a null vector.