Chapter 3

Geometric Algebra on G3

Carlos Polanco*

Abstract

This chapter reviews and elaborates on the operators from Geometric algebra on G2 to G3. This algebra is attributed to Hermann Grassmann [Die lineare Ausdehnungslehre, ein neuer Zweig der Mathematik 1842]. It is formed by two main operators, the outer product and the inner product, it also includes the element called bivector. Here, we review their properties and their application in space.

Total Pages: 31-47 (17)

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