Beginning Math and Physics for Game Programmers

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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.

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.

2.

7

3.

Yes

4.

74.81 °

5.

No

Cross Product

1.

[ “12 “13 “3]

2.

3.

44.9 °

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