# orthogonal vectors

Two vectors, ${v}_{1}$ and ${v}_{2}$, are orthogonal^{} if and only if their inner product $$is 0. In two dimensions^{}, orthogonal vectors^{} are perpendicular^{} (or in $n$ dimensions in the plane defined by the two vectors.)

A set of vectors is orthogonal when, taken pairwise, any two vectors in the set are orthogonal.

Title | orthogonal vectors |
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Canonical name | OrthogonalVectors |

Date of creation | 2013-03-22 12:07:33 |

Last modified on | 2013-03-22 12:07:33 |

Owner | akrowne (2) |

Last modified by | akrowne (2) |

Numerical id | 8 |

Author | akrowne (2) |

Entry type | Definition |

Classification | msc 15-00 |

Related topic | GramSchmidtOrthogonalization |