#### Introduction

- Vectors can be scaled by numbers to produce new vectors.
- To scale a vector by a number, you multiply each component of the vector by that number.
- For example:

#### Mathematical Definition

#### Magnitude

- The magnitude of a vector scales by the same amount as the individual components.
- For example:
- This leads to the identity:

#### code (Python)

```
import numpy as np
a = [3, 5]
b = np.multiply(a, 2)
print(b) # prints: [6 10]
```