In article <firstname.lastname@example.org>, email@example.com wrote:
> On Sunday, September 1, 2013 5:05:55 PM UTC-4, Ken Pledger wrote: > > .... I just call it "vector geometry". Some linear algebra textbooks > > have a chapter on it. > > Can you name one? Thanks
There are two excellent out-of-print books which concentrate on it: A. M. Macbeath, "Elementary Vector Algebra", and Seymour Schuster, "Elementary Vector Geometry". A very through and well-written treatment that may still be in print is Walter Prenowitz, "Geometric Vector Analysis and the Concept of Vector Space", which is Chapter VI in the 23rd Yearbook of the National Council of Teachers of Mathematics. Any of those three would be well worth a bit of effort to find.
A modern linear algebra book which starts with the geometry is David Easdown, "A First Course in Linear Algebra". He introduces geometrical vectors in Chapter 1, then develops the theory and geometrical applications in the next few chapters. (My students use this text.) The well-known book by Howard Anton, "Elementary Linear Algebra" has a briefer treatment in Chapter 3.