Bearings and vectors

Trig Refresher

 

The point P can be represented by position vector P

written in unit vector form as

From the other angle ,

so

When the angle is in quadrant 2,

or

 

Negative angles

Example

The journey of the crow from Linear motion with bearings is replicated below

 

Using vectors

 

The scalar product can be used to find the angle

 

So bearing is