# axial vector

Axial vector behaves like a vector (polar vector) except that it is invariant under the inversion^{} of its coordinate^{} axes. For example, the cross product^{} of two vectors $\mathbb{A}$ and $\mathbb{B}$,

$$\mathbb{A}\times \mathbb{B}$$ |

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 |