Geometric Algebra paclet

Check it out in Paclet Repository.

Installation

Install from the paclet repository:

PacletInstall["Wolfram/GeometricAlgebra"]

Or locally:

PacletDirectoryLoad["path_to_paclet_directory"]

Load and use

<< Wolfram`GeometricAlgebra`

e = GeometricAlgebra[3];

r = 2 e[1] + 3 e[2] + 4 e[3]

r ** e[1, 2]