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Conversion between quaternions and Euler angles: Difference between revisions

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There are [[Quaternions_and_spatial_rotation#Alternative_conventions|two representations]] of quaternions. This article uses the more popular Hamilton.
 
A quaternion has 4 scalarreal values: {{mvar|q<sub>w</sub>}} (the real part or the scalar part) and {{mvar|q<sub>x</sub> q<sub>y</sub> q<sub>z</sub>}} (the imaginary part).
 
Defining the [[Quaternion#Conjugation,_the_norm,_and_reciprocal|norm of the quaternion]] as follows:
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