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) |

(2) |

(3) |

(4) |

(5) |

**References**

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

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.*
New York: McGraw-Hill, pp. 46-47, 1953.

© 1996-9

1999-05-26