The Dot Product | Calculus 3 Lesson 7 - JK Math

What is the Dot Product? (Calculus 3 Lesson 7) ➡️ Download my FREE Vector Cheat Sheets: https://www.jkmathematics.com/vector-cheat-sheets-calc3 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus In this video you will learn about how to multiply vectors using the dot product for vectors in 2D and 3D. Additionally, you will learn about the various properties of the dot product and then practice using the dot product and its properties with some example problems. 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 Dot Product for Vectors in 2D 4:24 Dot Product for Vectors in 3D 8:48 Properties of the Dot Product 16:52 Example: Using Dot Product & Properties 📝 Examples Video: https://youtu.be/OLv3U_bcCJg ⏩ Next Lesson: https://youtu.be/H0aL0fyGOh8 📺 Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLHdRLeAbIZE5yZ7ydR9qeB_B6CcVFlX63 📺 Calculus 2 Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE7KQ922piyRIDAj30XYcOIu 📺 Calculus 1 Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54 🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: ➡️ Facebook: https://www.facebook.com/jkmathematics ➡️ Twitter: https://twitter.com/jk_mathematics ➡️ Instagram: @jk_mathematics Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! - Josh from JK Mathematics #calculus