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Beginning Math and Physics for Game Programmers by Wendy Stahler

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Self-Assessment Solutions

Translation

1.D'(70,60)
2.E'(–10,180)
3.F'(140,–20)
4.G'(250,–330,–50), H'(140,–300,–40), J'(–350,–250,–100)
5.L'(–300,50), M'(–150,–60), N'(–130,20)
6.Yes. G'(250,–330,–50), H'(140,–300,–40), J'(–350,–250,–100)

Scaling

1.A'(–25,10), B'(–5,10), C'(–15,20)
2.A'(–12.5,60), B'(–2.5,60), C'(–7.5,120)
3.D'(0,300,–1000), E'(–500,1000,–200), F'(–200,0,–3000)
4.D'(0,30,–50), E'(–100,100,–10), F'(–40,0,–150)

Rotation

1.A'(–33.66,38.30), B'(69.28,40), C'(–93.3,61.6)
2.D'(–0.8725,20,–49.9925), E'(–9.6495,0,20.1715), F'(29.9955,20,–0.5235)
3.G'(0,91.91,–49.49), H'(–50,84.84,56.56), J'(–20,212.13,–212.13)
4.L'(–30,0,–100), M'(–100,–50,–20), N'(0,–20,–300)

Concatenation

1.
2.A'(10,70), B'(–40,30), C'(60,110)
3.
4.
5.D'(–141.4,30,141.4), E'(–35.4,150,–35.4), ...

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