BSNS102 Study Guide - Final Guide: Cartesian Coordinate System, Coordinate Space, Linear Algebra

• School: University of Otago
• Department: Business Studies
• Course: BSNS102
• Professor: Drew Stelljes

Document Summary

Don"t let this precise definition of how points in 3d are located confuse you. It is a straight- forward extension of the process for 2d, as shown in figure 2. 11: Figure 2. 5 shows the standard 2d coordinate space. Notice that the difference between this coordinate space and screen coordinate space shown in figure 2. 6 is that the y-axis points in opposite directions. However, imagine rotating figure 2. 6 clockwise 180 so that +y points up and. Now rotate it by turning the page and viewing the diagram from behind. Notice that now the axes are oriented in the standard directions like in figure 2. 5. No matter how many times we flip an axis, we can always find a way to rotate things back into the standard orientation. Let"s see how this idea extends into 3d. This is cer- tainly allowed, so let"s flip the z-axis.