# Problem: While vacationing in the mountains you do some hiking. In the morning, your displacement is (2300 m east) + (4000 m north) + (200 m vertical). Continuing on your hike after lunch, your displacement is (1500 m west) + (2500 m north) - (500 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?

###### Problem Details

While vacationing in the mountains you do some hiking. In the morning, your displacement is (2300 m east) + (4000 m north) + (200 m vertical). Continuing on your hike after lunch, your displacement is (1500 m west) + (2500 m north) - (500 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?

What scientific concept do you need to know in order to solve this problem?

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Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.