ABSTRACT
Following D.Hestenes [1] we develop and analyze the algebra of Euclidean 3-space. This can be done in the same way as in the analysis of the algebra of E2 in the previous chapters.
Let i be a unit trivector in E3, preferably called a unit pseudoscalar for E3. The set of all vectors x that satisfies the equation
x ∧ i = 0 (4.1)
is the Euclidean three-dimensional vector space E3. Scalar multiples of i are called pseudoscalars for E3.
