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Vector Notation

If you are going to understand how vectors work, you first must under­stand the notation that will be used whenever vectors are talked about. There are three ways of representing the vectors. The first is shown in the graphical method. The graphical method entails plotting the vectors on a set of axes. Although this works great if you need a visual represen­tation of the vector, it is inconvenient to draw plot every time you want to talk about a vector. This method is often prone to error because it is hard to draw a vector the exact length and to the exact position. This error becomes worse when you try to draw three-dimensional vectors on a two-dimensional sheet of paper, and becomes impossible when you need to deal with vectors of four or more dimensions.

Fortunately, there are easier ways to represent vectors. The shortest and most common way uses the following notation:

<x, y,z>

where x, y, and z are the distances along the x, y, and z axes, respectively. When a vector is written using this notation it is called an algebraic vector. You will see much more of this notation later on in the chapter.

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