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=== Quaternions as Dual Motors === Second, the quaternions are exactly the subset of [[dual motors]] for which the directrix lies in the horizon. In this case, the uni ...

...ndwich with the [[geometric antiproduct]], a plane is a specific kind of [[flector]] that performs a [[reflection]] through itself. A [[dual translation]] operator $$\mathbf T$$ that moves a plane $$\mathbf g$$ to th ...

...Plücker coordinates, [[quaternions]], and screw theory (which makes use of dual quaternions). This makes rigid geometric algebra a natural fit for areas of ...de of its inputs and outputs, we can make the same statement about how the dual operation relates to the antigrade of its inputs and outputs. ...

...ion operator'' or ''moment vector''. Motors are equivalent to the set of ''dual quaternions'' used in conventional theories, and the functionality is prope * [[Flector]] ...