Game Development Reference
In-Depth Information
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
−x
+z
+y
−x
+z
−y
+x
−z
−y
+y
+z
+x
−y
−z
+x
−y
−z
−x
+y
+z
−x
+y
−z
−x
−y
+z
−x
−y
+z
+x
+y
−z
+x
+y
+x
−z
−y
−x
−z
−y
−x
+z
+y
+x
+z
+y
−x
+z
−y
+x
+z
−y
+x
−z
+y
−x
−z
+z
+x
+y
−z
−x
+y
−z
−x
−y
+z
+x
−y
+z
−x
−y
−z
+x
−y
−z
+x
+y
+z
−x
+y
+z
+y
−x
−z
−y
−x
−z
−y
+x
+z
+y
+x
+z
−y
+x
−z
+y
+x
−z
+y
−x
+z
−y
−x
745
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