Exercises 9.1, page 267

  1. 1.

    Four vectors. One goes horizontally left, another then goes up and left, and another then goes up and right. The resultant, R, goes up and left from the first to third vector.

  2. 3.

    Three vectors. One vector goes up and right, then another goes horizontally left. The resultant, R, goes up and left from the first to second vector.

  3. 5.

    1. Scalar because no direction is given.

    2. Vector because direction is given.

  4. 7.

    1. Vector: magnitude and direction are specified.

    2. Scalar: only magnitude is specified.

  5. 9.

    A vector which goes up and right.

  6. 11.

    A vector that goes up and right at a slight angle to the vertical.

  7. 13.

    A vector that goes up and left.

  8. 15. 5.6, 50 ° 

    The graph is 3 position vectors. One goes along the x-axis, another goes along the y-axis, and another is at a 50 degree angle to the x-axis and measures 5.6 units. Dashed lines create a rectangle with the vectors.

  9. 17. 4.3, 156 ° 

    The graph is 3 position vectors. One extends into quadrant 2, another extends into quadrant 4, and the third is at a 156 degree counterclockwise angle and measures 4.3 units.

  10. 19.

    A medium length vector that goes up and right at a 45 degree angle.

  11. 21.

    A medium length vector that goes up and right at a slight angle to the vertical.

  12. 23.

    A medium length vector that goes up and right at a 45 degree angle.

  13. 25.

    A short length vector that goes up and right at a 45 degree angle.

  14. 27.

    A long length vector that goes up and left at a 45 degree angle.

  15. 29.

    A long length vector that goes up and right at a 65 degree angle.

  16. 31.

    A medium length vector that goes down and left at a 45 degree angle.

  17. 33.

    A short length vector that goes down and left at a 45 degree angle.

  18. 35.

    A long length vector that goes up and right at a 75 degree angle.

  19. 37.

    A very long length vector that goes up and right at a 45 degree angle.

  20. 39.

    A short length vector that goes horizontally left.

  21. 41.

    Three position vectors. A horizontal vector of 320 pounds goes right, a vertical vector of 840 pounds goes up, and a 900 pound vector is at a 69 degree angle to the horizontal. Dashed lines connecting the terminal ends forms a rectangle.

  22. 43. 50 m/min 29 °  from horizontal

    Three vectors. A horizontal vector meets a vertical vector. A vector of 50 meters per minute is at a 29 degree angle to the horizontal and meets the terminal end of the vertical vector.

  23. 45.

    Four vectors.

  24. 47.

    A diagram of vectors.
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