Exactly! The magnitude of both vectors is \(20\), whereas the directions are different because the angles they are making with the positive x-axis are different.

Imagine two cars: a Mercedes and a Rolls-Royce. Both of them are travelling at \(100 \, \mathrm{km/h}\). But, the Merc is going towards the

**East**, and the Rolls-Royce is going towards the**West**.If the car's motion can be thought of as a vector, what is true about the Mercedes vector and the Rolls-Royce vector?

- A and B have the same direction, but, different magnitudes
- A and B have the same magnitude, but, different directions
- A and B have different magnitudes and different directions
- A and B have the same magnitude and direction