Difference between revisions of "Addition of quaternions"
From Robotics
Line 31: | Line 31: | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
+ | |||
+ | [[Category:Article]] | ||
+ | [[Category:Quaternion]] |
Latest revision as of 16:24, 4 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:
Obviously addition of two quaternions is commutative and associative: