MAC2313 Study Guide - Quiz Guide: Osculating Circle, Product Rule, Parallelepiped

83 views23 pages

Document Summary

Provide a generalization to each of the key terms listed in this section. The three dimensional coordinate system consists of 3 coordinates axes (hence why 2d coordinate systems only have 2 axes), which are the following: 3d x axis y axis z axis. Since 2d planes only have 2 points to deal with (aka x and y), it is split into 4 regions called quadrants since 22 = 2 2 = 4; that is the same concept with 3d planes. Since the three dimensional coordinate system has 3 coordinates axes, then it also has 3 planes as well. Since there are 3 coordinates axes and 3 planes (while all connected by o, which is the origin), then it means that there are also 3 equations for each of their respective coordinate planes. The following is a respective connection between the equations and their respective coordinate planes: