For any non-zero vectors `vec(a)andvec(b)vec(a)xxvec(b)` is

For any non-zero vectors vec(a),vec(b)andvec(c),(vec(a)xxvec(b)).vec(c) is

If vec(a)andvec(b) are two unit vectors, then the vectors (vec(a)+vec(b))xx(vec(a)xxvec(b)) is parallel to the vector

For any three vectors vec(a),vec(b)andvec(c),(vec(a)+vec(b)).(vec(b)+vec(c))xx(vec(c)+vec(a)) is

For non-zero vectors vec(a) and vec(b), " if " |vec(a) + vec(b)| lt |vec(a) - vec(b)| , then vec(a) and vec(b) are-

The cross product of two vectors gives a vector perpendicular to the plane containing the vectors. If vec(a) and vec(b) are non-zero vectors, then vec(a)*(vec(a)xxvec(b))= _________

Show that |vec(a)|vec(b)-|vec(b)|vec(a) , for any two non - zero vectors vec(a) and vec(b) .