Click to copy, then share by pasting into your messages, comments, social media posts and websites.
Click to copy, then add into your webpages so users can view and engage with this video from your site.
Report Content
We also accept reports via email. Please see the Guidelines Enforcement Process for instructions on how to make a request via email.
Thank you for submitting your report
We will investigate and take the appropriate action.
Introduction to 3D Coordinate Systems
In this video I provide an introduction to 3D or Three-Dimensional Coordinate Systems. This section is the first part of the chapter on Vectors and the Geometry of Space from my calculus book. A 3D coordinate system is typically defined with the x-, y-, and z-axes in which the direction of the z-axis is determined by the Right-Hand Rule. Visualizing 3D geometry is often easy to use by considering the analogy of a house with 8 rooms (4 on top and 4 on the bottom) and all being in contact with the center point. In the context of 3D- coordinate systems, the 8 rooms are called octants, and the center point is the origin. I illustrate this by plotting several points in 3D. And finally I describe mathematical terms for all real numbers in a rectangular 3D coordinate system, and which is referred to as a Dimensional Rectangular Coordinate System.
The timestamps of key parts of the video are listed below:
- Introduction to Vectors and the Geometry of Space: 0:00
- Three-Dimensional Coordinate Systems: 1:30
- Right-Hand Rule: 3:08
- Octants: 5:00
- Point P in 3D Space: 7:16
- Plotting Points Examples: 13:22
- Dimensional Rectangular Coordinate System: 17:57
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
Related videos:
Vectors and Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
Category | Education |
Sensitivity | Normal - Content that is suitable for ages 16 and over |
Playing Next
Trigonometry Identities: sin(-x) = - sin(x) and cos(-x) = cos(x)
10 months, 2 weeks ago
Related Videos
Graphing a Hyperboloid of One Sheet in 3D
8 hours ago
Graphing a Hyperbolic Paraboloid in 3D
1 day, 14 hours ago
MES Livestream 9: Freedom Activist Allen Forrest Joins the Show
2 days, 6 hours ago
Graphing an Elliptic Paraboloid in 3D
2 days, 15 hours ago
Proof that Sum of Angles in ANY Triangle = 180 degrees
3 days, 15 hours ago
6 days, 16 hours ago
Warning - This video exceeds your sensitivity preference!
To dismiss this warning and continue to watch the video please click on the button below.
Note - Autoplay has been disabled for this video.