Vectors in 3D Examples | Calculus 3 - JK Math
Examples of Vectors in 3D (Calculus 3)
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In this video we look at example problems of working with vectors in 3D. This includes finding 3D position vectors, calculating their magnitude, determining if 3D vectors are parallel, finding 3D unit vectors, using the standard 3D unit vectors, and performing basic vector operations in 3D.
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: Finding a Position Vector & Magnitude
3:53 Example 2: Writing Vectors Using Standard Unit Vectors
10:02 Example 3: Determining Parallel Vectors
18:11 Example 4: Find Unit Vector in Same/Opposite Direction
24:35 Example 5: Find Vector With Same Direction as Another
29:33 Example 6: Vector Operations in 3D
40:02 Example 7: Determine if Points are Collinear
📝 Lesson Video For These Examples: • Vectors in 3D | Calculus 3 Lesson 6 - JK Math
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📺 Calculus 1 Playlist: • Calculus 1
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