1. Two vectors have length V₁ = 3.5 km and V₂ = 4.0 km. What are the maximum and minimum magnitudes of their vector sum?

2. Under what circumstance would a vector have components that are equal in magnitude?

3. A person walks 25.0^o north of east for 3.10 km. How far due north and how far due east would she have to walk to arrive at the same location?

4. A vector has an x-component of -25.0 units and a y-component of 40.0 units. Find the magnitude and direction of the vector.

5. The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 41.0 km/h. Three hours later the course of the hurricane suddenly shifts due north and its speed slows to 25.0 km/h. How far from Grand Bahama is the hurricane 4.50 h after it passes over the island?

6. A Compute airplane starts form an airport and takes the route shown in the figure. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.