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Geometric Algebra (Clifford Algebra)

Author:
JimSmithInChiapas
Topic:
Algebra, Geometry
These resources are 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. 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 Wiki for collaborative development of pre-university materials on GA http://preuniversitygeometricalgebra.wikispaces.com/ LinkedIn group for the same purpose: Pre-University Geometric Algebra https://www.linkedin.com/groups?home=&gid=8278281

  • Vectors' Geometric Properties (with application to "forces")

  • Dot Product: Geometric Significance and GeoGebra Coding

  • Geometric Algebra: Find unknown vector from two dot products

  • Inner and Outer Products of Vectors Inscribed in a Circle

  • GeoGebra coding/usage of Geometric Algebra's wedge product

  • Tangents to a circle from a point, using Geometric Algebra

  • Answering Two Common Objections to Geometric Algebra

  • Apollonius Problem: Solution via Vectors (Geometric Algebra)

  • Three Solutions to Apollonius Problem LLP Limiting Case

  • Projection of Vector on Plane via Geometric Algebra

  • Angle down to horizon for observer on a sphere

Next
Vectors' Geometric Properties (with application to "forces")

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