The car travels from A to B, and then from B to C, as shown in the figure. Determine the magnitude of the displacement of the car and the distance traveled.
We can write the directions of travel by the car in Cartesian form. Assume point A is our origin. Therefore, we can write the following (we are creating a position vector from A to C):
The displacement is then the magnitude of this vector:
The total distance traveled is simply the addition of lengths: