Friday, 8 August 2014
CHAPTER 25 - Properties of Scalar Triple Product
Let us see some more significant properties of the
of three vectors is zero if any two of them are parallel. This implies as a corollary that
This property is very important and is used extremely frequently. The justification is straight forward:
Dot product is distributive over addition
Three vector are coplanar if and only if their
is zero. This is because the volume of the parallelopiped formed by the three vectors becomes zero if they are coplanar.
You are urged to rigorously prove the other way implication, i.e, prove that if
are non-zero non-collinear vectors, then
must be coplanar.
This relation is quite useful and is worth remembering.
August 08, 2014
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#Transformation of Complex Functions : Mapping of Z plane in to W plane ...