For any three vectors `a, b, c` the value of `a xx (b xx c) + b xx (c xx a) + c xx (a xxb)` is

Show that the vectors a xx(b xx c),b xx(c xx a) and c xx(a xx b) are coplanar

(a + b) xx c + (b + c) xx a + (c + a) xx b =

Let lambda=a xx(b xx c),mu=b xx(c xx a) and v=c xx(a xx b). Then

If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b xx vec c) +vec b xx(vec c xx vec a)+ vec c xx(vec a xx vec b) = vec 0