5 Complex Numbers and Vectors

In This Chapter

5.1 Complex Numbers

5.2 Trigonometric Form of Complex Numbers

5.3 Powers and Roots of Complex Numbers

5.4 Vectors in the Plane

5.5 Dot Product

     Chapter 5 Review Exercises

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In physics a quantity that has a magnitude and direction is represented by a vector.

A Bit of History In the quest to find solutions of equations, mathematicians of antiquity often encountered square roots of negative numbers such as √–5 and 1 + √–1. These numbers were called “fictitious” or “imaginary.” Over a period of several hundred years, mathematicians′ understanding and acceptance of the usefulness of these numbers slowly ...

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