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

[[vec a + vec b-vec c, vec b + vec c-vec a, vec c + vec a-vec b is equal to

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]] .

For any three vectors vec a, vec b, vec c, (vec a-vec b) * (vec b-vec c) xx (vec c-vec a) is equal to

If vec a,vec b, and vec c are three non-coplanar vectors,then find the value of (vec a*(vec b xxvec c))/(vec b*(vec c xxvec a))+(vec b*(vec c xxvec a))/(vec c*(vec a xxvec b))+(vec c*(vec b xxvec a))/(vec a xxvec c))

If vec a, vec b, vec c are three non-coplanar, non-zero vectors, then the value of (vec a * vec a) vec b xxvec c + (vec a * vec b) vec c xxvec a + (vec a * vec c) vec a xxvec b

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

If vec a , vec ba n d vec c are three non coplanar vectors, then prove that vec d=( vec adot vec d)/([ vec a vec b vec c])( vec bxx vec c)+( vec bdot vec d)/([ vec a vec b vec c])( vec cxx vec a)+( vec cdot vec d)/([ vec a vec b vec c])( vec axx vec b)

If vec a,vec b,vec c be any three non-zero non coplanar vectors and vectors vec p=(vec b xx vec c)/(vec a.vec b xx vec c),vec q=(vec c xx vec a)/(vec a.vec b xx vec c) vec r=(vec a xx vec b)/(veca.vec b xx vec c), then [vec p vec q vec r] equals -

vec a, vec b, vec c are non-coplanar vectors, express vec a xx (vec b xxvec c) as a linear combination of vec a, vec b, vec c

If vec a,vec b, and vec c are three non-coplanar non-zero vecrtors,then prove that (vec a*vec a)vec b xxvec c+(vec a*vec b)vec c xxvec a+(vec a*vec c)vec a xxvec b=[vec bvec cvec a]vec a