Game Vectors: Geometry of Game Art and Math in Game Development

Both vector graphics and vector math are fundamental towards both the visual appearance and technical details of contemporary video games. When you learn about game vectors, you can start to see things with a completely different approach. Artists interested in the artistic side (vector art) will find an idea that is worth exploring without prior reference; mathematicians concerned about the theoretical base (vector math) might also want to marvel at how this approach challenges their deeply embedded understanding of numerical

What are game vectors?

Vector Art: In game development, this refers to graphics created using mathematical equations to define shapes, lines and colors. Unlike raster images that are made up of pixels, vector graphics do not depend on resolution so can be scaled endlessly without losing quality. This makes them ideal for 2D games, user interfaces and stylized visuals.

Vector Math: Vectors in mathematics represent quantities with both magnitude and direction. In games, vector math is used no matter how a player enters the world or what to do with it afterwards.

Vector Mathematics in Game Development

Applications:

Movement and Physics: Vectors are used to represent positions, velocities, and forces, helping produce realistic movements and collisions.
Camera Controls: Vector mathematics help to calculate the right angles for camera movement or when the camera is rotating freshly.
AI and Pathfinding: Vector mathematics help find direction/ distance for an AI agent when it is navigating.

Learning Opportunities:

There are beginner guides and tutorials for starting developers to understand and apply vector mathematics concepts in a game setting and for beginners to use vector mathematics for their required variety of operations; like adding and subtracting vectors, the dot product, and cross product just to name a few.

Interactive games like the Bézier Game can help practicing artists and developers graphically learn to draw and manipulate vector coordinate systems and manage vectors in practical ways

The Essentials of Cartesian Coordinate System: Learning 3D Math

The Essentials of Cartesian Coordinate System: Learning 3D Math Basic Cartesian Coordinates Using Cartesian coordinates gives us a means of identifying points in a numerical value system. An (x, y) pair defines this in two dimensions; in three, it expands to (x, y, z). Knowing how these coordinates relate to one another will help us to view and shape geometric forms, grasp where they are in space and in what direction. Cartesian coordinates let us travel in three dimensions. For those working in sectors like architecture, engineering and computer graphics, navigation via length, width, and height is extremely crucial. Knowing the link among these coordinates helps us to visualize and manipulate geometric forms, as well as their position and orientation in space. Surveying the Three-Dimensional Environment. Using three-dimensional space, Cartesian coordinates—that is, length, width, and height of a plane—can be n...

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