Name: Circle and Cylinder in 3D Coordinates
Uploaded: 2023-05-21T22:32:28+00:00
Duration: 4 min 43 s
Description: In this video I go over an example on graphing a circle and a cylinder in 3D coordinates. The circle that I graph has the equation x^2 + y^2 = 1 and z = 3. This means that the circle is centered about

2 years ago

3d coordinates cylinder circle 3D three-dimensions mathematics vectors geometry 3D space math stem

In this video I go over an example on graphing a circle and a cylinder in 3D coordinates. The circle that I graph has the equation x^2 + y^2 = 1 and z = 3. This means that the circle is centered about the xy-axis origin but at a height of z = 3. The cylinder that I graph just has the equation x^2 + y^2 = 1. In the context of 3D coordinates this means it is a vertical cylinder with an indefinite height. Note that in the context of 2D coordinates, this would just be a circle centered about the xy-axis origin.

The timestamps of key parts of the video are listed below:

- Example 2a: Circle: 0:00
- Example 2b: Cylinder: 2:05

This video was taken from my earlier video listed below:

- Vectors and the Geometry of Space: 3D Coordinate Systems: https://youtu.be/xJ-qPJFf2gE
- Video notes: https://peakd.com/hive-128780/@mes/vector-space-and-geometry-3d-coordinate-systems
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GiAJeLMzhOsrMliibfce5m