Difference between revisions of "Pure and unit quaternions"

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{{Navigation|before=[[basic properties of a quaternion]]|overview=[[Quaternions]]|next=[[Rotations using quaternions]]}}
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For these imaginary units, the following rules hold:
 
For these imaginary units, the following rules hold:

Revision as of 15:45, 28 May 2015

← Back: Basic properties of a quaternion Overview: Quaternions Next: Rotations using quaternions

For these imaginary units, the following rules hold:


\begin{align}
i^2 &= j^2 = k^2 = ijk = -1 \\
ij &= -ji = k \\
jk &= -kj = i \\
ki &= -ik = j
\end{align}