While vacationing in the mountains you do some hiking. In the morning, your displacement is S(vector)_morning = (2000 m, east) + (3000 m, north) + (200 m, vertical). After lunch, your displacement is S(vector)_afternoon = (1500 m, west) + (2000 m, north) – (300 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?