Vectors and the Geometry of Space: 3D Coordinate Systems
In this video I go over a new chapter in my calculus book and cover Vectors and the Geometry of Space. More specifically, I cover the first section of that chapter which is on Three Dimensional Coordinate Systems. This section defines the terminology and conventions for 3D coordinates which I will be using throughout this chapter. Several examples are included such as the equations for a sphere and the distance between points in 3D.
The topics covered in this video are listed below with their time stamps.
Introduction: 0:00
Topics to Cover: 1:01
1. Vectors and the Geometry of Space: 1:31
2. Three-Dimensional Coordinate Systems: 3:02
3. Example 1: 22:00
Note on Context: 26:32
Equations of Vertical or Horizontal Planes: 27:30
4. Example 2: 32:03
5. Example 3: 36:47
5. Distance Formula in 2D: 39:43
Distance Formula in Three Dimensions: 41:32
7. Example 4: 52:11
8. Example 5: 54:33
Equation of a Sphere: 57:40
9. Example 6: 58:45
10. Example 7: 1:06:23
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View video sections playlist: • 3D Coordinate Systems
Related Videos:
Vectors and the Geometry of Space Playlist: • Vectors and the Geometry of Space .
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