Planes in 3D Space | Calculus 3 Lesson 16 - JK Math
How to Find Equations of Planes in 3D Space (Calculus 3 Lesson 16)
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In this video you will learn how to represent planes in 3D space with an equation using a point on the plane and a normal vector (perpendicular vector). I show you where the standard and general forms of the equation of a plane come from, and then how to use them with various example problems. Additionally, you will learn how to quickly sketch graphs of planes in a 3D coordinate system by identifying x, y, and z intercepts.
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 Planes in 3D: What do you Need?
4:12 Finding the Standard & General Plane Equations
14:08 Summary of Plane Equations
15:06 Example: Find Plane Using Point & Normal Vector
20:58 Example: Find Plane Using Point & Parallel Plane
28:52 Example: Find Plane Using 3 Points
38:02 Sketching Planes in 3D Space
43:51 Sketching Planes Missing x, y, or z Term
48:30 Sketching Basic Planes (x=4, y=6, z=3, etc.)
📝 Examples Video: • Planes in 3D Space Examples | Calculus 3 -...
⏩ Next Lesson: • Intersections of Lines & Planes in 3D Spac...
📺 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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