Difference between revisions of "Pure and unit quaternions"
From Robotics
m (Nickchen moved page Arithmetics of quaternions to Arithmetic of quaternions) |
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{{Navigation|before=[[Definition of a quaternion]]|overview=[[Quaternions]]|next=[[Rotations with quaternions]]}} | {{Navigation|before=[[Definition of a quaternion]]|overview=[[Quaternions]]|next=[[Rotations with quaternions]]}} | ||
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| + | For these imaginary units, the following rules hold: | ||
| + | :<math> | ||
| + | \begin{align} | ||
| + | i^2 &= j^2 = k^2 = ijk = -1 \\ | ||
| + | ij &= -ji = k \\ | ||
| + | jk &= -kj = i \\ | ||
| + | ki &= -ik = j | ||
| + | \end{align} | ||
| + | </math> | ||
Revision as of 15:19, 28 May 2015
| ← Back: Definition of a quaternion | Overview: Quaternions | Next: Rotations with quaternions → |
For these imaginary units, the following rules hold:
