Finding the Vector Cross Product

This tutorial is crafted to provide a clear and thorough understanding of finding the cross product, a significant operation in calculus, particularly in the study of vectors. Ideal for students in calculus or physics courses, or anyone looking to deepen their understanding of vector operations, this video breaks down the concept and computation of the cross product in an accessible manner.
The video begins by introducing the concept of vectors and their importance in representing quantities that have both magnitude and direction. We then delve into the definition of the cross product, also known as the vector product, explaining how it differs from the dot product and its significance in determining the area of parallelograms formed by vectors and the normal to a plane.
Through step-by-step explanations, the tutorial demonstrates how to calculate the cross product of two vectors using the determinant of a matrix. We provide practical examples with varying degrees of complexity to illustrate the process and ensure viewers can apply this technique in different scenarios, including real-world applications.
By the end of this video, viewers will have a solid grasp of how to find the cross product and understand its applications in physics and engineering. Join us to enhance your mathematical skills and vector analysis proficiency.
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[@tresajessygeorge210]

THANK YOU... SIR...!!!

[@dennisbunarta1190]

I love this

[@borissimovic441]

Can someone please explain, if you can how the length of a vector, which is 1D “a line” (length of cross product vector) can be equal to the area which is 2D (2d space includes more information width and length)?