Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Describe each vector as an ordered pair. Round the coordinates to the nearest tenth.

See Problem 2.

Use compass directions to describe the direction of each vector.

Sketch a vector that has the given direction.

16. 50 ° 50 degrees south of east
17. 20 ° 20 degrees north of west
18. 45 ° 45 degrees northeast
19. 70 ° 70 degrees west of north
20. 45 ° 45 degrees southwest
21. 10 ° 10 degrees east of south

See Problem 3.

22. History Homing pigeons have the ability or instinct to find their way home when released hundreds of miles away from home. Homing pigeons carried news of Olympic victories to various cities in ancient Greece. Suppose one such pigeon took off from Athens and landed in Sparta, which is 73 mi west and 64 mi south of Athens. What are the magnitude and direction of its flight vector?

Find the magnitude and direction of each vector.

23. 
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25. 
26. Backpacking The sophomore class at your high school went on a backpacking trip. One morning, the group left the base camp to hike 11 km due north and 11 km due east. What are the distance and direction of the group's hike that day? Round each to the nearest tenth.

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