There's another issue of mathematical correctness. The `*` and `/` operators operate elementwise, which does not seem a geometrically meaningful operation. These _do_ have meaningful definitions in geometric algebra, but...
There's a fundamental tension between linear algebra and geometric algebra that _needs_ to be addressed: * The product in linear algebra corresponds to composing linear transformations. It also corresponds to applying a linear transformation to a vector. * The product in geometric algebra _also_ corresponds to composing transformations, but applying a transformation is defined by the "sandwich product" aka versor product.
