Vector triple product:
The vector product of 2 vectors, one of which is itself vector product of 2 vectors, is a vector quantity as vector triple product.
It can be defined for 3 vectors  as the vector
as the vector  . This vector being perpendicular to
. This vector being perpendicular to  x
 x  , is coplanar with that is
 , is coplanar with that is 
Take scalar product of this equation with a. We get

If we choose coordinate axes in such a way that

 , if some or all of
, if some or all of  are zero vectors or
 are zero vectors or  and
 and  are collinear.
 are collinear.
 
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