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### 11Working with vectors

In the last chapter, we used both magnitude and direction to represent complex numbers in Argand diagrams. Now, we shall extend this idea to discover how we can handle physical quantities which have both magnitude and direction, working in both two and three dimensions.

The chapter is divided into the following sections.

11.A Basic rules for handling vectors

(a) What are vectors?

(b) Adding vectors and what this can mean physically,

(c) Using components to describe vectors,

(d) Vector components in three-dimensional space,

(e) Finding the magnitude of a three-dimensional vector,

Finding unit vectors

11.B Multiplying vectors

(a) Defining the scalar or dot product of two vectors,

(b) Working out the dot product of two vectors, ...

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