Intro to Vectors | Calculus 3 Lesson 1 - JK Math
Introduction to Vectors (Calculus 3 Lesson 1)
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In this video you will learn the basics of what vectors are and some of their basic features. This includes different ways of denoting a vector, finding the length (magnitude) of a vector, and finding a position vector (finding the component form of a vector). I take you through each concept one at a time, and end with an example problem that brings everything together. Your calculus 3 journey begins here with vectors, so get excited! There is a lot of amazing things to look forward to learning in this course!
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 Scalar vs Vector Quantities
3:52 What is a Vector?
7:52 Vectors in a Plane
10:09 Magnitude (Length) of a Vector
13:57 Equivalent Vectors
18:14 Position Vectors
22:52 Finding Position Vectors
26:15 Magnitude of Position Vectors
27:22 Example Problem
📝 Examples Video: • Intro to Vectors Examples | Calculus 3 - J...
⏩ Next Lesson: • Vector Operations | Calculus 3 Lesson 2 - ...
📺 Calculus 3 Playlist: • Calculus 3
📺 Calculus 2 Playlist: • Calculus 2
📺 Calculus 1 Playlist: • Calculus 1
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#calculus