Distance Between Points, Lines, & Planes | Calculus 3 Lesson 18 - JK Math

How to Find The Distance Between Points, Lines & Planes (Calculus 3 Lesson 18)

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In this video you will learn how to find the distance between a point and a plane, the distance between parallel planes, the distance between skew lines, and the distance between a point and a line, in 3D space. We look at the relevant formulas in each case, and look at some example problems using the formulas as well.

This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 Overview of Distances
0:54 Distance Between Point & Plane
12:03 Formula for Distance Between Point & Plane
12:42 Example: Distance Between Point & Plane
16:07 Distance Between Parallel Planes
22:29 Formula for Distance Between Parallel Planes
23:15 Example: Distance Between Parallel Planes
28:47 Distance Between Skew Lines
34:46 Distance Between Point & Line
41:24 Formula for Distance Between Point & Line
42:19 Example: Distance Between Point & Line


📝 Examples Video:    • Distance Between Points, Lines, & Planes E...  

⏩ Next Lesson:    • Cylinders in 3D Space | Calculus 3 Lesson ...  

📺 Calculus 3 Playlist:    • Calculus 3  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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Josh from JK Mathematics

#calculus

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