Vectors and the Geometry of Space: 3D Coordinate Systems

Math Easy Solutions

description

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

Vectors and the Geometry of Space: 1:31
Three-Dimensional Coordinate Systems: 3:02
Example 1: 22:00
- Note on Context: 26:32
- Equations of Vertical or Horizontal Planes: 27:30
Example 2: 32:03
Example 3: 36:47
Distance Formula in 2D: 39:43
- Distance Formula in Three Dimensions: 41:32
Example 4: 52:11
Example 5: 54:33
- Equation of a Sphere: 57:40
Example 6: 58:45
Example 7: 1:06:23

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

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