Conversion between quaternions and Euler angles: Difference between revisions

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Definition: Removed my confusion about what JPL means, and deleted misleading matrix notation which is reversed from every version of quaternion I have ever seen
Definition: Remove one last vector notation
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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).
 
A ''unit [[quaternion]]'' cansatisfies bethis described asequation:
:<math>|\mathbf{q}|^2 = q_w^2 + q_x^2 + q_y^2 + q_z^2 = 1</math>
 
We can associate a [[quaternion]] with a rotation around an axis by the following expression