#### 1. Non-Collinear Vectors

When vectors are in the same plane but are not acting along the same line of action they are known as non-collinear vectors.

Non collinear vectors can be added using three different methods:

The general rule for adding vectors regardless of the method is still : "add vectors from tail to head". When two or more vectors are added together, the resulting vector is known as the "**resultant**".

Note that in the illustration below the resultant **V**_{T }is the sum of the vectors **V**_{1 }and **V**_{2.}**V**_{T } is drawn from the tail of the first vector (**V _{1}**) to the head of the last vector (

**V**).

_{2}#### 2. Direction of Vectors

Now let's say we place a resultant vector, **d**_{ }on a set of x-y coordinates with its tail at the origin (0,0). We want to find out its direction.

Note that **d** is in a direction other that the standard North-South-East-West directions.

We use the the compass (or nautical directional system) to express its direction.

The diagram above demonstrates how to report the direction of a vector using a standard format.

This vector is found 60^{0} East of North (or 30^{0 }North of East) and has a magnitude of 10 m. We can draw this vector using a protractor and a ruler.

Our starting point is the Y-axis and we move 60^{0} from the North position towards the East position (the X-axis).

The standard notation to report the magnitude and direction of vector **d **is:

**d** = 10 m [N60^{0}E].

Note: we can also say that **d** = 10 m [E30^{0}N].