Geometric Conventions

Algebra is a powerful numerical framework for solving real-world problems. But as mentioned in chapter 3 we must be careful when manipulating the quantity zero and taking square-roots of negative numbers. In this chapter we look at how geometric conventions give rise to negative areas and volumes which we must understand before proceeding with GA. Readers already familiar with computer graphics will understand the importance of using a left-handed or right-handed axial system when designing computer programs. Failure to observe a consistent axial model can result in reflected images or reversed rotations, so let’s begin by taking a look at spatial conventions.