In this chapter, you will examine the concept of a vector, a mathematical object describing relative positions in space. You already used vectors informally in the previous chapter, but now you will look at them in more detail. You will finish the chapter by looking at some calculations with matrices and how to use them to describe changes in space.

The first goal of this chapter is formally to describe vectors and see how to perform basic calculations with them.

A *vector* is like an instruction that tells you where to move. For example, imagine a pirate’s treasure map that says, ...

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