Difference between revisions of "Addition of quaternions"
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:<math> | :<math> | ||
\begin{align} | \begin{align} | ||
| − | q+p &= q_0+p_0 \oplus \vec{\mathbf{q}}+\vec{\mathbf{p}} | + | q+p &= q_0+p_0 \oplus \vec{\mathbf{q}}+\vec{\mathbf{p}} = (q_0+p_0,\vec{\mathbf{q}}+\vec{\mathbf{p}}) |
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 16:22, 1 September 2015
| ← Back: Pure and unit quaternions | Overview: Quaternions | Next: Multiplication of quaternions → |
Two quaternions can easily be added by adding their components.
Assume two quaternions:
The quaternions 
and 
can just be replaced by these equations in their addition 
and then be summarized as the individual four components:
So the addition in vector notation can be written as:
