Intersections of Lines & Planes in 3D Space | Calculus 3 Lesson 17 - JK Math

How to Find The Intersections Between Lines & Planes (Calculus 3 Lesson 17)

➡️ Download my FREE Vector Cheat Sheets: https://www.jkmathematics.com/vector-...

🖥️ Join My Membership Site: https://www.jkmathematics.com/plus


In this video you will learn how to find intersections & angles of intersection involving lines and planes in 3D space. In particular, you will learn how to find the intersection between a line and a plane, the intersection between two lines, and the intersection between 2 planes. We look at each type of intersection individually, along with an example to demonstrate the respective procedures for finding the intersections.

Special Note: My apologies that this lesson is exceptionally long compared to other Calculus 3 lessons. I did consider breaking up this lesson into 3 separate lessons, one for each type of intersection, but decided to combine them since the topics are fairly similar and related to one another. Due to the nature of these problems being lengthy and very algebra heavy, the video is a bit longer than what I usually aim for, but regardless I believe it is necessary in order to adequately explain the concepts at hand. I hope you can understand!

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 Intersections
0:56 Intersection of Lines & Planes
3:21 Example: Intersection of a Line & Plane
9:43 Angle of Intersection Between Lines & Planes
15:33 Example: Angle of Intersection of Line & Plane
20:12 Intersection of 2 Lines
23:06 Example: Intersection of 2 Lines
33:56 Angle of Intersection Between 2 Lines
35:40 Example: Angle of Intersection Between 2 Lines
38:37 Angle Between 2 Planes
43:24 Intersection of 2 Planes
47:16 Example Part 1: Intersection of 2 Planes
56:55 Example Part 2: Angle Between 2 Planes


📝 Examples Video:    • Intersections & Angles of Lines & Planes E...  

⏩ Next Lesson:    • Distance Between Points, Lines, & Planes |...  

📺 Calculus 3 Playlist:    • Calculus 3  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


🌐 Visit My Website: https://www.jkmathematics.com


⚡️Math Products I Recommend⚡️
Graphing Calculator: https://amzn.to/3XuUcB9
Non-Graphing Calculator: https://amzn.to/46hHJ7E
Financial Calculator: https://amzn.to/3CRe9s4
Graphing Paper: https://amzn.to/46mAfAr
College Rule Paper: https://amzn.to/3NOJaTN
My Favorite Pencil: https://amzn.to/3NOFMIB
My Favorite Erasers: https://amzn.to/3PumUQB
Calculus Workbook: https://amzn.to/3r8SnNP

⚡️Textbooks I Use⚡️
Calculus 1 & 2: https://amzn.to/3PzfI5F
Calculus 3: https://amzn.to/46rSy76
Financial Mathematics: https://amzn.to/3ppIVW0

⚡️My Recording Equipment⚡️
iPad Air: https://amzn.to/3phEug1
Apple Pencil (Gen 2): https://amzn.to/3Nl45MM
Tablet Desk Stand: https://amzn.to/4420rPh
External Hardrive: https://amzn.to/44pkEyh

(Commissions earned on qualifying purchases)


Find me on social media:
➡️ Facebook:   / jkmathematics  
➡️ Twitter:   / jk_mathematics  
➡️ Instagram: @jk_mathematics


Found this video to be helpful? Consider giving this video a like and subscribing to the channel!

Thanks for watching! Any questions? Feedback? Leave a comment!

Josh from JK Mathematics

#calculus

Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.