Vectors in 3D | Calculus 3 Lesson 6 - JK Math

Vectors in 3D (Calculus 3 Lesson 6)

In this video you will learn about how to work with vectors in a 3-Dimensional coordinate system. 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. We look at each topic individually and practice with examples along the way.

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 Basics of Vectors in 3D
6:15 Magnitude of 3D Vectors
9:29 Example: Finding Position Vector & Magnitude
12:21 Note About Zero Vector & Equal Vectors
13:54 Parallel Vectors in 3D
17:27 Unit Vectors in 3D
22:44 Standard Unit Vectors in 3D
26:51 Basic Vector Operations in 3D
32:06 Example: Using Vector Operations in 3D

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- Josh from JK Mathematics

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