﻿ Vector, their Magnitude & Direction. Defined with Examples and Quiz Questions.

# Magnitude & Direction of a Vector

#### What Is a Vector?

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

1. Magnitude
2. Direction

#### Trait #1) Magnitude

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

#### Trait #2) Direction

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)

### Practice Problems

##### Problem 1

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

The direction of the vector is North East.
##### Problem 2

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.
##### Problem 3

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

##### Problem 4

The direction of the vector is 43° East of South, and the vector's magnitude is 3. It is also possible to describe this vector's direction as 47. South of East.

##### Problem 5

In terms of direction, there is no difference whatsoever between 55° north of west, and 35° west of north.