Standard Algebraic Tools for Linear Geometry

Previous section: Prolog (On Optimizing the Design of Introductory Mathematics).

The term scalar refers to a real number or variable, with properties taken for granted here. 

The concept of vector is defined by algebraic rules for combining vectors.

In addition, geometric meaning is ascribed to vectors by depicting them as directed line segments.

Thus vector a is depicted by  



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© David Hestenes 2005, 2014