#### What Is a Vector?

A Vector is something that has two and only two defining characteristics.

- Magnitude
- Direction

#### Trait #1) Magnitude

#### Trait #2) Direction

*direction*of the vector.

A Vector is something that has two and only two defining characteristics.

- Magnitude
- Direction

Magnitude is "how large' something is . In the diagrams 1 and 2, you can see vectors that have magnitudes of 4 and of 5.

Diagram 1

Diagram 2

The meaning of direction is pretty self explanatory. The vector must start somewhere and move in a path towards a different place. In diagrams 3 and 4 , the green dashed line represents the *direction* of the vector.

Diagram 3

Diagram 4

Examples of Vectors | Non Examples |
---|---|

4 units long at 30 $$^{\circ}$$ | 4 unit |

44 miles per hour east (velocity) | speed of 44 mph (speed) |

Describe using compass directions (North, South, East, West) the direction of the vector pictured below.

The direction of the vector is North East.

What is the magnitude and the direction of the vector below?

The direction of the vector is 55° North of East, and the vector's magnitude is 2.3.

The direction of the vector is 47° North of West, and the vector's magnitude is 2.