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Beginning Math and Physics for Game Programmers by Wendy Stahler

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Chapter 4, “Vector Operations”

Vector Versus Scalar

Scalar = magnitude only.

Vector = magnitude + direction.

Displacement

Displacement = final position – initial position.

Δx = xfxi

Polar Coordinates

Vector

where is the magnitude of A and θ is the direction.

Cartesian Coordinates (Components)

Vector

where is one unit in the x direction and is ...

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