A hiker's walk is four steps, each written as (east, north) in metres: (5, 0), (0, 3), (-2, 0) and…

Step 1. Distance. $5\ \text{m} + 3\ \text{m} + 2\ \text{m} + 1\ \text{m} = 11\ \text{m}$.

Step 2. Where she ends. East: $5\ \text{m} - 2\ \text{m} = 3\ \text{m}$; north: $3\ \text{m} + 1\ \text{m} = 4\ \text{m}$.

Step 3. Displacement. $\sqrt{(3\ \text{m})^2 + (4\ \text{m})^2} = 5\ \text{m}$.