1. Problem 1 A man was walking home from work and on his way home he traveled a distance of 25 km west, 12 km north, and then back 2 km east. What was his displacement vector?

2. Problem 2 A small airplane leaves an airport on an overcast day and is later sighted 215 km away, in a direction making an angle of 22° east of north. How far east and north is the airplane? 22 °

3. Problem 3 Here are three vectors, each expressed in unit vector notation: a = 4.2i – 1.6j b = -1.6i + 2.9j c = -3.7j Find the vector r that is the sum of these vectors.

4. Checkpoint Vectors c and d have magnitudes of 3 units and 4 units, respectively. What is the angle between c and d if c·d equals (a) zero, (b) 12 units, (c) -12 units?

5. Problem 4 What is the angle Φ between a = 3.0i – 4.0j and b = -2.0i + 3.0k?