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Area of Parallelograms & Triangles Using the Cross Product | Calculus 3 Lesson 13 - JK Math
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How to Find Area of Triangles & Parallelograms Using the Cross Product (Calculus 3 Lesson 13)
In this video you will learn how to use the cross product of vectors to find the area of parallelograms and triangles.
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 Magnitude of Cross Product
2:32 Area of a Parallelogram
8:43 Area of a Triangle
11:00 Summary of Formulas
12:05 Example: Area of a Parallelogram
23:08 Example: Area of a Triangle Given Vertices
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
➡️ 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
In this video you will learn how to use the cross product of vectors to find the area of parallelograms and triangles.
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 Magnitude of Cross Product
2:32 Area of a Parallelogram
8:43 Area of a Triangle
11:00 Summary of Formulas
12:05 Example: Area of a Parallelogram
23:08 Example: Area of a Triangle Given Vertices
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
➡️ 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