Chapter 8:

Lines and Planes

Introduction

In this chapter, you will revisit your knowledge of intersecting lines in two dimensions and extend those ideas into three dimensions. This chapter investigates the nature of planes and intersections of planes and lines, lines with lines, and planes with planes, and helps you develop tools and methods to describe these intersections. For each prescribed section of the chapter, we introduce the general concept and state any vital formulas or definitions. Then, we provide a few basic examples and move on to practice questions to solidify these concepts, and lastly application problems that demonstrate an intuitive understanding of the material. We have provided diagrams where necessary as visual aids.

8.1 Equations of lines in Two-Space and Three-Space

Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image

8.2 Equations of Planes

Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image

8.3 Properties of planes

Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image

8.5 Intersection of Lines and Planes

Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image
Big image