Less Weird Quaternions Using Geometric Algebra
&gt; OK so what is this Geometric Algebra? It’s an alternative to linear algebra.<p>No. Geometric algebra is a use case of linear algebra. How can it be an alternative?<p>&gt; Before I tell you how to actually evaluate the wedge product, I first have to tell you the properties that it has:<p>&gt; 1. It’s anti-commutative: a \wedge b = -b \wedge a<p>&gt; 2. The wedge product of a vector with itself is 0: a \wedge a = 0<p>Redundant information. The latter follows from the former.