# Combining Two 3D Rotations

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The concentric rotations and can be combined either by doing first and then , written as , or first and then , written as . This right-to-left notation comes from the algebra of dot products, and , where is a vector and and are the matrices representing the rotations and .

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Contributed by: George Beck and Jeff Bryant (September 2007)

Open content licensed under CC BY-NC-SA

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"Combining Two 3D Rotations"

http://demonstrations.wolfram.com/CombiningTwo3DRotations/

Wolfram Demonstrations Project

Published: September 28 2007