## Pseudovector

A typical Vector is transformed to its Negative under inversion. A Vector which is invariant under inversion is called a pseudovector, also called an Axial Vector in older literature (Morse and Feshbach 1953). The Cross Product

 (1)

is a pseudovector, whereas the Vector Triple Product
 (2)

is a Vector.
 (3)

 (4)

Given a transformation Matrix ,
 (5)

Arfken, G. Pseudotensors, Dual Tensors.'' §3.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 128-137, 1985.