Lecture

Vector Calculus: 3D Orientation and Cross Product

Description

This lecture covers the orientation of bases in 3D space, defining the cross product of vectors, and its properties. It explains how to calculate the volume of parallelepipeds and tetrahedrons using the mixed product. The instructor demonstrates the application of these concepts in coordinate systems and provides proofs for various properties.

Official source

https://mediaspace.epfl.ch/media/0_u1ycz53z

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Mathematics

Algebra: Linear algebra, Abstract algebra

Analysis: Tensor analysis

Geometry: Euclidean geometry

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