Chapter 12: Three-Dimensional Vectors

In this chapter you will extend what you learned about two-dimensional vectors to vectors in space. You can do some operations, such as vector addition and subtraction, simply by adding a third component to the representation of a vector. Other operations require new techniques—there are two different kinds of multiplication for vectors. The payoff is the ability to calculate such things as the place where a line in space intersects a plane in space so that parts of three-dimensional objects will fit together properly when they are constructed.