Rotation (mathematics) - Three Dimensions

Three Dimensions

Rotations in ordinary three-dimensional space differ from those in two dimensions in a number of important ways. Rotations in three dimensions are generally not commutative, so the order in which rotations are applied is important. They have three degrees of freedom, the same as the number of dimensions.

A three dimensional rotation can be specified in a number of ways. The most usual methods are as follows.

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