The magnitude of vector is the distance between the initial point A and B and the end point Q. In symbols the magnitude of is written as

When vectors starting coordinate and ending coordinates are given then by using distance formula, magnitude of the vector can be easily find out as :

#### Magnitude of a Vector

#### Direction of a Vector

The direction of a vector is the measure of the angle it makes with x-axis. One of the formula can be used to find the direction of a vector.

Where :

where **x** is the horizontal change and **y** is the vertical change

**OR**

Where where ( *x*1 , *y*1 ) is the initial point and ( *x*2 , *y*2 ) is the terminal point.

So,