Appendix B

Answers to the Exercises

I believe that every human has a finite number of heart-beats. I don’t intend to waste any of mine running around doing exercises.

— Buzz Aldrin (1930–)

B.1 Chapter 1

(Page 27.)

  1. a = (−2.5, 3)

    b = (1, 2)

    c = (2.5, 2)

    d = (−1, 1)

    e = (0, 0)

    f = (2, −0.5)

    g = (−0.5, −1.5)

    h = (0, −2)

    i = (−3, −2)

  2. a = (1, 2, 4)

    b = (−3, −3, −5)

    c = (-3, 6, 2.5)

    d = (3, 0, −1)

    e = (0, 0, 0)

    f = (0, 0, 3)

    g = (−3.5, 4, 0)

    h = (5, −5, −1.5)

    i = (4, 1, 5)

  3. See the table below.

    Left-handed

    Right-handed

    East

    Up

    North

    East

    Up

    North

    East

    Up

    North

    East

    Up

    North

    +x

    +y

    +z

    x

    y

    +z

    x

    y

    z

    +x

    +y

    z

    +x

    y

    z

    x

    +y

    z

    x

    +y

    +z

    +x

    y

    +z

    +x

    +z

    y

    x

    z

    y

    x

    z

    +y

    +x

    +z

    +y

    +x

    z

    +y

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