Lecture

Scalar Products in 2D and 3D Geometry

Description

This lecture covers the definition and properties of the scalar product in R^2 and R^3, including symmetry, distributivity, and positivity. It explains how to calculate the length of a vector, the angle between two vectors, and how to use the scalar product to compute these. The lecture also introduces the concept of the norm of a vector and its calculation. Additionally, it discusses the application of rotations to calculate the scalar product and angles between vectors in 2D and 3D spaces.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_mej1odbd

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Ontological neighbourhood

Mathematics

Analysis: Tensor analysis, Functional analysis

Algebra: Linear algebra

Geometry: Euclidean geometry

Physics

Mechanics: Classical mechanics

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