Introduction

Throughout this book we are going to explore the mathematical concepts required to detect and react to intersections in a 3D environment. In order to achieve robust collision detection and build realistic reactions, we will need a strong understanding of the math required. The most important mathematical concepts in physics are Vectors and Matrices.

Physics and collisions rely heavily on Linear Algebra. The math involved may sound complicated at first, but it can be broken down into simple steps. The recipes in this chapter will explain the properties of vectors using math formulas. Each recipe will also contain a visual guide. Every formula will also have an accompanying code sample.

Note

This chapter does not assume you have any advanced math knowledge. I try to cover everything needed to understand the formulas presented. If you find yourself falling behind, Khan Academy covers the basic concepts of linear algebra at: www.khanacademy.org/math/linear-algebra.