Intersections & Angles of Lines & Planes Examples | Calculus 3 - JK Math

Examples For How to Find The Intersections Between Lines & Planes (Calculus 3)

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In this video we look at practice problems of finding the intersections & angles of intersection involving lines and planes in 3D space. In particular, we look at how to find the intersection between a line and a plane, the intersection between two lines, and the intersection between 2 planes (as well as the angle of intersection in each case).

Special Note: My apologies that this video is exceptionally long compared to other Calculus 3 videos. I did consider breaking up the lesson that corresponds to this video 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. Therefore, this examples videos is a bit on the longer side as well. 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 Example 1: Intersection of a Line & Plane (#1)
9:38 Example 2: Intersection of a Line & Plane (#2)
16:17 Example 3: Intersection of 2 Lines (#1)
32:07 Example 4: Intersection of 2 Lines (#2)
42:30 Example 5: Intersection of 2 Planes


📝 Lesson Video For These Examples:    • Intersections of Lines & Planes in 3D Spac...  

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

📺 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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