1. 12.1 Three-Dimensional Coordinate System

2. A three-dimensional coordinate system consists of:  3 axes: x-axis, y-axis and z-axis  3 coordinate planes: xy -plane, xz -plane and yz -plane  8 octants. Each point is represented by an ordered triple x z y Each equation involving x, y and z represents a surface. 3D Space

3. 1) Describe the surface represented by the following equation. Examples 2) Describe the region represented by the following inequality.

4. Midpoint Formula: Distance Formula: Given 2 points in the space with coordinates Equation of a sphere of radius r, centered atis Distance and Spheres

5. 1) Find the standard equation of the sphere whose endpoints of a diameter are 2) Find the center and radius of the sphere: 3) Describe the solid satisfying the condition: Examples