If `vec a, vecb` and `vec c` are three conterminuous edges of a parallelopiped of the volume 6 then find the value of `[[vec a xx vec b, vec a xx vec c, vec b xx vec c]]`.

If vec a, vec b, vec c are three non-coplanar vectors represented by concurrent edges of a parallelopiped of volume 4, (vec a + vec b) + (vec bxx vec c) + (vec b + vec c). ( vec c xx vec a) + (vec c + vec a). (vec axx vec b) is equal to

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

Let vec a, vec b, vec c be three vectors from vec a xx (vec b xxvec c) = (vec a xxvec b) xxvec c, if

If V is the volume of parallelopiped formed by the vectors vec a,vec b,vec c as three co-terminous edges is 27 cubic units,then the volume of the parallelopiped having vec alpha=vec a+2vec b-vec c,vec beta=vec a-vec b and vec gamma=vec a-vec b-vec c as three coterminous edges is

If veca, vecb, vec c are three non coplanar vectors , then the value of (vec a.(vec b xx vec c) )/((vec c xx vec a).vec b) + ( vecb.(vec a xx vec c ))/(vec c.(vec a xx vec b)) is

vec a * {(vec b + vec c) xx (vec a + 2vec b + 3vec c)} = [vec with bvec c]

If vec a ,\ vec b ,\ vec c are three vectors such that vec adot\ vec b= vec adot\ vec c and vec a\ xx\ vec b= vec a\ xx\ vec c ,\ vec a\ !=0 , then show that vec b= vec c .

The vectors vec a xx (vec b xxvec c), vec b xx (vec c xxvec a), vec c xx (vec a xxvec b) are

[vec a xx (3vec b + 2vec c), vec b xx (vec c-2vec a), 2vec c xx (vec a-3vec b)]