Maths - Rotations - Order of rotation operations

The rotation operation is not commutative.

In other words the order of Successive Rotations is significant, for example

This gives 90 degree rotation about Z axis,

whereas

This gives 90 degree rotation about y axis (first 2 lines cancel out)

metadata block

see also:	polar co-ordinates matrix algebra kinematics orientation rotations dynamics Conversion Euler To Matrix Conversion Euler to Quaternion Conversion Matrix to Euler Conversion Matrix to Quaternion Conversion Quaternion to Euler Conversion Quaternion to Matrix
Correspondence about this page	Roy
Book Shop - Further reading. Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.	3D Math Primer - Aimed at complete beginners to vector and matrix algebra. Other Math Books

This site may have errors. Don't use for critical systems.