Randall D. Knight — Vectors and Coordinate Systems: Problem 29

While vacationing in the mountains you do some hiking. In the morning, your displacement is \(\vec{S}_{\text{morning}} = (2000 \text{ m, east}) + (3000 \text{ m, north}) + (200 \text{ m, vertical})\). Continuing on after lunch, your displacement is \(\vec{S}_{\text{afternoon}} = (1500 \text{ m, west}) + (2000 \text{ m, north}) - (300 \text{ m, vertical})\). a. At the end of the hike, how much higher or lower are you compared to your starting point? b. What is the magnitude of your net displacement for the day?