Game Development Reference
In-Depth Information
0
@
2
4
−
−4
9
3
5
2
4
3
5
1
A
−7
9.5
(d) distance
,
=
(6−(−2))
2
+ (−7−(−4))
2
+ (9.5−9)
2
√
=
8
2
+ (−3)
2
+ (0.5)
2
=
64 + 9 + 0.25
√
=
73.25 ≈ 8.56
0
@
2
4
−
−4
4
3
5
2
4
−6
3
5
1
A
6
−6
(e) distance
,
=
(−6−4)
2
+ (6−(−4))
2
+ (6−(−4))
2
+ (−6−4)
2
=
(−10)
2
+ (10)
2
+ (10)
2
+ (−10)
2
√
=
100 + 100 + 100 + 100
√
=
400 = 20
2
6
−3
8
9.
(a)
= (2)(−3) + (6)(8) = −6 + 48 = 42
11 −4
−7 −14
(b) −7
1
2
=
11 −4
= (−7)(11) + (−14)(−4)
= −21
2
4
−5
3
5
2
4
3
5
−13
9
(c) 10 +
1
3
= 10 + ((−5)(4) + (1)(−13) + (3)(9))
= 10 + (−20 + (−13) + 27)
= 10 + (−6) = 4
2
4
−2
3
5
0
@
2
4
3
5
2
4
3
5
1
A
2
4
−6
3
5
2
4
3
5
−2
3/2
0
9
7
8
7
17/2
(d) 3
0
4
+
=
0
12
= (−6)(8) + (0)(7) + (12)(17/2) = 54
10. v
= n
VN
N
2
= n
V
1
= n (v n)
4
√
4
√
4
√
2
3
5
0
@
2
4
3
5
2
3
5
1
A
2
3
5
2/2
√
2/2
0
4
−1
2/2
2/2
√
√
√
√
2 +
3
2
=
2/2
0
=
2/2
0
2
+ 0
2
4
√
2
3
5
2
4
3
5
2/2
√
2/2
0
7/2
7/2
0
√
=
7
2
=
2
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