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: contact@mes.fm
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
-
10:12
Math Easy Solutions
21 days ago $0.03 earnedBlackbody Radiation Question 2: Planck's Law Approximates Rayleigh-Jeans Law at Large Wavelengths
1582 -
10:35
SonnyFaz
6 hours agoSonnyFaz Reacts To HeelMike And Zherka...
616 -
1:44
Hack
1 day agoHow to Unlock Your Car in 30 Seconds
5002 -
8:06
ErmzPlays
16 hours agoThe Acolyte Episode 4 - From Stupid To Insane
471 -
10:12
China Uncensored
6 hours agoBoeing Has a BIG China Problem
7467 -
1:02
Maicy Renee
9 hours agoGetting That Beach Body Ready Yall!
572 -
42:43
The Why Files
1 day agoProof of Life After Death: Hope and a Warning From The Other Side
13.5K57 -
16:37
Scammer Payback
1 day agoHere's the Scammer's Location 👉 (28°34'05.1"N 77°24'00.9"E)
11.2K15 -
2:42:09
Fresh and Fit
4 hours agoFresh&Fit After Hours w/ Girls
48.4K40 -
DVR
Alex Zedra
5 hours agoLIVE! Playing Chained Together
22.1K28