# Understanding Quaternions

Understanding Quaternions

In this article I will attempt to explain the concept of Quaternions in an easy to understand way. I will explain how you might visualize a Quaternion as well as explain the different operations that can be applied to quaternions. I will also compare applications of matrices, euler angles, and quaternions and try to explain when you would want to use quaterions instead of Euler angles or matrices and when you would not.

# Understanding the View Matrix

In this article, I will attempt to explain how to construct the view matrix correctly and how to use the view matrix to transform a model’s vertices into clip-space.  I will also try to explain how to compute the camera’s position in world space (also called the Eye position) from the view matrix.

# 3D Math Primer for Game Programmers (Vector Operations)

Distance between two points (3)

In this article I would like to discuss operations on vectors.  This article assumes the reader has a basic knowledge of what vectors are and how they are represented. My goal here is simply to refresh your memory about what kind of operations can be performed on vectors specifically operations that are important if you are trying to create a 3D game engine.

# 3D Math Primer for Game Programmers (Matrices)

The Matrix

In this article, I will discuss matrices and operations on matrices. It is assumed that the reader has some experience with Linear Algebra, vectors, operations on vectors, and a basic understanding of matrices.

# 3D Math Primer for Game Programmers (Coordinate Systems)

Left-hand Rule

In this article, I would like to provide a brief math primer for people who would like to get involved in game programming.  This is not an exhaustive explanation of all the math theory that one will have to know in order to be a successful game programmer, but it’s the very minimum amount of information that is necessary to know before you can begin as a game programmer.

This article assumes you have a minimum understanding vectors, and matrices.  I will simply show applications of vectors and matrices and how they apply to game programming.