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Beginning Math and Physics for Game Programmers by Wendy Stahler

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Self-Assessment Solutions

Vector Versus Scalar

1.A scalar is just a plain old number, or a magnitude only. A vector has both magnitude and direction.
2.Vector
3.Scalar
4.+60 feet
5.–60 feet
6.+130 pixels
7.470 pixels
8.0

Polar Coordinates Versus Components

1.
2.B = 13 units @ 22.6°
3.
4.D = 10 units @ 36.9°

Vector Addition and Subtraction

1.
2.B = 10 units @ 53.1°
3.
4.
5.
6.
7.

Scalar Multiplication

1.Magnitude only
2.(–1/3)A = –4m/s @ 43°
3.
4.
5.

Dot Product

1.0
2.7
3.Yes ...

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