This construction tests formulas derived in the document "Calculating the Angle between Projections of Vectors via Geometric (Clifford) Algebra", which is available at http://vixra.org/abs/1802.0047.
Here's the Abstract from said document:
We express a problem from visual astronomy in terms of Geometric (Clifford) Algebra, then solve the problem by deriving expressions for the sine and cosine of the angle between projections of two vectors upon a plane. Geometric Algebra enables us to do so without deriving expressions for the projections themselves.
You're invited to join the LinkedIn group "Pre-University Geometric Algebra", which is devoted to sharing and collaborative development of resources for teaching GA at the high-school level: https://www.linkedin.com/groups/8278281 .
