This worksheet addresses two common objections to Geometric Algebra: "Vector Division" and "addition of unlike quantities".
This resource is part of a series that I am preparing in support of Professor David Hestenes's goal of using Geometric Algebra(GA) to integrate high-school algebra,geometry, trigonometry,and physics into a coherent curriculum.
Previous materials in this series:
Dot Product: Geometric Significance and GeoGebra Coding ([url]http://tube.geogebra.org/b/1022879#material/949399[/url])
Inner and Outer Products of Vectors Inscribed in a Circle ([url]http://tube.geogebra.org/b/1022879#material/1015919[/url])
Geometric Algebra: Find unknown vector from two dot products ([url]http://tube.geogebra.org/m/1481375[/url])
GeoGebra coding/usage of Geometric Algebra's wedge product ([url]http://tube.geogebra.org/m/150311[/url]7)
Tangents to a circle from a point, using Geometric Algebra ([url]http://tube.geogebra.org/m/1510715[/url])
Resources prepared by Professor Hestenes and Robert Rowley:
[url]http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/[/url]
[url]http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/introduction-to-geometric/high-school-geometry-with/index.html[/url]
LinkedIn group for collaborative development of pre-university materials on GA:
Pre-University Geometric Algebra
[url]https://www.linkedin.com/groups?home=&gid=8278281[/url]
Wiki for the same purpose:
[url]http://preuniversitygeometricalgebra.wikispaces.com/[/url]