Game Development Reference
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4. Identify the following statements as true or false. If the statement is false,
explain why.
(a) The size of a vector in a diagram doesn't matter; we just need to draw
it in the right place.
(b) The displacement expressed by a vector can be visualized as a se-
quence of axially aligned displacements.
(c) These axially aligned displacements from the previous question must
occur in order.
(d) The vector [x, y] gives the displacement from the point (x, y) to the
origin.
5. Evaluate the following vector expressions:
(a) −
3
7
(b)
−12
5
(c)
8 −3
1/2
(d) 3
4 −7
0
(e)
4
5
/2
6. Normalize the following vectors:
(a)
12
5
(b)
0
743.632
(c)
8 −3
1/2
(d)
−12
3 −4
(e)
1
1
1
1
7. Evaluate the following vector expressions:
(a)
7 −2 −3
+
6
6 −4
(b)
2
9 −1
+
−2 −9
1
2
4
3
5
2
4
3
5
3
10
7
−7
4
(c)
−
2
4
3
5
2
4
−
−5
11
3
5
4
−11
(d)
−
2
4
3
5
2
4
3
5
a
b
c
2
1
−6
(e) 3
−4
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