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Chapter 5: Vectors and Geometry in Two and Three Dimensions

Introduction

We examine various descriptions of a plane in three dimensions and of a line in two and three dimensions and the use of vectors in describing interrelations between points lines and planes. We also examine properties of the vector triple product.

Topics

5.1 Some Questions

5.2 Representations of a Line or Plane: Preliminary Remarks

5.3 Representations of a Line in Two and Three Dimensions

5.4 Representations of a Plane in 3 Dimensions

5.5 Projections and Applications

5.6 Vector Triple Products

5.7 Review of Facts about Vectors and Planes