Three Dimensions
In three dimensions, angular displacement is an entity with a direction and a magnitude. The direction specifies the axis of rotation, which always exists by virtue of the Euler's rotation theorem; the magnitude specifies the rotation in radians about that axis (using the right-hand rule to determine direction).
Despite having direction and magnitude, angular displacement is not a vector because it does not obey the commutative law for addition.
Read more about this topic: Angular Displacement
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