### Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.55, then this problem asks you to find their sum R = A + B .)

```
```

**SOLUTION:**

Refer to the diagram

The magnitude of the displacement (distance from the starting point to the final position) is given by

The compass direction of a line connecting your starting point to your final position is given by

The compass reading is