# CHAPTER 6 — Scaling and Unit Vectors

This chapter discusses how to multiply a
vector by a real number (called **scaling**),
and how this is used to construct **unit vectors**.
Unit vectors are used to
show direction in 3D space,
and are essential for 3D graphics.

- Scaling.
- Unit vectors.
- Normalizing a vector.
- Variables in vector equations.

### QUESTION 1:

Change the elements of this column matrix: **(3, 4)**^{T}
so that the vector it represents
is twice as long and remains pointing in the same direction.
(Officially you don't know how to do this. Take a guess.)