Axis–angle representation

id: axis-angle-representation-181-17807699
title: Axis–angle representation
text: In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense of the rotation about the axis. Only two numbers, not three, are needed to define the direction of a unit vector e rooted at the origin because the magnitude of e is constrained. For example, the elevation and azimuth angles of e suffice to loc
brand slug: wiki
category slug: encyclopedia
description: Parameterization of a rotation into a unit vector and angle
original url: https://en.wikipedia.org/wiki/Axis%E2%80%93angle_representation
date created: 2007-01-27T01:49:08Z
date modified: 2024-09-06T02:20:28Z
main entity: {"identifier":"Q3625416","url":"https://www.wikidata.org/entity/Q3625416"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/7b/Angle_axis_vector.svg","width":94,"height":152}
fields total: 13
integrity: 16

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