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Vectors and the Geometry of Space: 3D Coordinate Systems

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First published at 16:46 UTC on October 4th, 2022.

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Math Easy Solutions

MES

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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

Download Video Notes: https://1drv.ms/b/s!As32ynv0LoaIiZtLKWAWmO-eeJizjQ?e=gbHcyw

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/vector-space-and-geometry-3d-coordinate-systems