See Problem 4.

Write the resultant of the two vectors as an ordered pair.

27. 〈 2 , 1 〉  and  〈 − 3 , 2 〉 left pointing angle bracket 2 comma 1 right pointing angle bracket , and , left pointing angle bracket negative 3 comma 2 right pointing angle bracket
28. 〈 0 , 0 〉  and  〈 4 , − 6 〉 left pointing angle bracket 0 comma 0 right pointing angle bracket , and . left pointing angle bracket 4 comma , minus 6 right pointing angle bracket
29. 〈 − 1 , 1 〉  and  〈 − 1 , 2 〉 left pointing angle bracket negative 1 comma 1 right pointing angle bracket , and , left pointing angle bracket negative 1 comma 2 right pointing angle bracket

For Exercises 30–35, (a) write the resultant of the two vectors as an ordered pair and (b) draw the resultant.

See Problem 5.

36. Navigation A ferry shuttles people from one side of a river to the other. The speed of the ferry in still water is 25 mi/h. The river flows directly south at 7 mi/h.

    1. The ferry heads directly west across the river. What are the resulting speed and direction of the boat? Round to the nearest tenth.
    2. At what angle should the ferry head upriver in order to travel directly west?
37. Aviation A twin-engine airplane has a speed of 300 mi/h in still air. Suppose this airplane heads directly south and encounters a 50 mi/h wind blowing due east. Find the resulting speed and direction of the plane. Round to the nearest unit.

B Apply

38. Writing Use the diagrams below to write a definition of equal vectors.

    

    These vectors are equal.

    

    No two of these vectors are equal.

39. Writing Use the diagrams below to write a definition of parallel vectors.

    

    These vectors are parallel.

    

    No two of these vectors are parallel.

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