Vector Triple Product:
vector product of two vectors, one of which is itself the vector product
of two vectors, is a vector quantity called vector triple product.
is defined for three vectors as the vector . This vector being perpendicular to , is coplanar with .
the scalar product of this equation with a. We get.
we choose the coordinate axes in such a way that
, it is easy to show that l = 1. Hence
general, ( Vector triple product is not associative
if some or all of are
zero vectors or are collinear.
We have =
= = .
Show that = 0.
L.H.S. = =0
Prove that .
L.H.S. = =
= = R.H.S.
three unit vectors such that = , find the angles which makes with and
We are given that =
Hence the angle between is and that between, .