If vectors `b ,ca n dd` are not coplanar, then prove that vector `( vec axx vec b)xx( vec cxx vec d)+( vec axx vec c)xx( vec dxx vec b)+( vec axx vec d)xx( vec bxx vec c)` is parallel to ` vec adot`

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

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

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

If vectors vec a , vec b ,a n d vec c are coplanar, show that | vec a vec b vec c vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec b vec bdot vec c|=odot

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

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

For any three vectors vec a,vec b,vec c show that vec a xx(vec b+vec c)+vec b xx(vec c+vec a)+vec c xx(vec a+vec b)=vec 0

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec a,vec c,vec d are non-coplanar vectors,then vec d*{vec a xx[vec b xx(vec c xxvec d)]} is equal to