# 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