Apollonius Problem: Solution via Vectors (Geometric Algebra)
This worksheet enables students to explore the solution presented in the article "The Problem of Apollonius as an Opportunity for Teaching Students to Use Reflections and Rotations to Solve Geometry Problems via Geometric (Clifford) Algebra" (http://vixra.org/abs/1605.0233). It is part of a series of resources that I am preparing his 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 (https://tube.geogebra.org/b/1022879#material/949399)
Inner and Outer Products of Vectors Inscribed in a Circle (https://tube.geogebra.org/b/1022879#material/1015919)
Geometric Algebra: Find unknown vector from two dot products (https://tube.geogebra.org/m/1481375)
GeoGebra coding/usage of Geometric Algebra's wedge product (https://tube.geogebra.org/m/1503117)
Tangents to a circle from a point, using Geometric Algebra (https://tube.geogebra.org/m/1510715)
Answering Two Common Objections to Geometric Algebra (https://tube.geogebra.org/m/yvNYFtFS?doneurl=%2F)
GeoGebra book "Geometric Algebra" (Clifford Algebra) https://tube.geogebra.org/m/qzDtMW2q?doneurl=%2Fjimsmithinchiapas .
Resources prepared by Professor Hestenes and Robert Rowley:
http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/introduction-to-geometric/high-school-geometry-with/index.html
LinkedIn group for collaborative development of pre-university materials on GA:
Pre-University Geometric Algebra
https://www.linkedin.com/groups?home=&gid=8278281Wiki for the same purpose:
http://preuniversitygeometricalgebra.wikispaces.com/