axial vector

Axial vector behaves like a vector (polar vector) except that it is invariant under the inversionMathworldPlanetmathPlanetmath of its coordinateMathworldPlanetmathPlanetmath axes. For example, the cross productMathworldPlanetmath of two vectors 𝔸 and 𝔹,


is an axial vector. The cross product of two axial vectors stays as an axial vector, whereas the cross product of an axial vector and a polar vector turns to be a polar vector.

Title axial vector
Canonical name AxialVector
Date of creation 2013-03-22 15:15:00
Last modified on 2013-03-22 15:15:00
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 7
Author Mathprof (13753)
Entry type Definition
Classification msc 53A45
Related topic vector
Related topic tensor
Related topic scalar
Related topic Vector
Defines pseudovector