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Ebernardes (talk | contribs) Quaternion norms are well defined independent of vector notation, as well as the modulus of a complex number, see: https://en.wikipedia.org/wiki/Quaternion#Conjugation,_the_norm,_and_reciprocal |
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A quaternion has 4 scaler values: {{mvar|q<sub>w</sub>}} (the real 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:
A ''unit quaternion'' satisfies this equation:▼
<math display=block>\lVert q \rVert = 1</math>
We can associate a [[quaternion]] with a rotation around an axis by the following expression
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