Lines in 3D Space Examples | Calculus 3 - JK Math

Examples For How to Find Equations of Lines in 3D Space (Calculus 3)

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In this video we look at examples of representing lines in 3D space with symmetric equations and parametric equations by using a point on the line and a vector parallel to the line (direction vector). Additionally, we look at an example of determining if lines in 3D are parallel or identical, given their equations.

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: Find Parametric & Symmetric Equations (#1)
5:41 Example 2: Find Parametric & Symmetric Equations (#2)
14:18 Example 3: Find Parametric & Symmetric Equations (#3)
19:08 Example 4: Find Point & Parallel Vector to Line (#1)
22:30 Example 5: Find Point & Parallel Vector to Line (#2)
24:00 Example 6: Find Point & Parallel Vector to Line (#3)
28:15 Example 7: Determine if Lines are Parallel or Identical


📝 Lesson Video For These Examples:    • Lines in 3D Space | Calculus 3 Lesson 15 -...  

⏩ Next Lesson:    • Planes in 3D Space | Calculus 3 Lesson 16 ...  

📺 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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