Three Dimensional Affine Geometry - Wild Linear Algebra A - NJ Wildberger

This lecture introduces three-dimensional affine geometry through perspective and parallel projections, coordinate axes, points, vectors, lines, and planes. It also distinguishes affine space from vector space and includes exercises.

Syllabus

CONTENT SUMMARY: Introduction: @
pg 1: @04:15 Perspective projection; Parallel projection @;
pg 2: @09:42 example of parallel projection; suggested exercises @
pg 3: @ coordinate axes; right handed configuration;
pg 4: @ The nature of space; remark to base our understanding of space on arithmetic;
pg 5: @23:43 A point in space - a triple of numbers; a point rather than a vector @ ;
pg 6: @ A vector; remark on importance of distinction between points and vectors;
pg 7: @ points, lines, planes;
pg 8: @ relations between 2 lines in space; identical, parallel, intersecting, skew;
pg 9: @ determination of plane; relations between 2 planes; identical, parallel, intersecting;
pg 10: @ Affine space; Vector space; vector space has structure that an affine space has not;
pg 11: @ exercises 9.1:2 ;
pg 12: @ exercise 9.3 THANKS to EmptySpaceEnterprise