Lecture

Equations in Space: Cartesian Equations of Planes

Description

This lecture covers the Cartesian equations of planes in space, introducing the concept of fixed points and coordinate systems. It explains how to determine a plane using the equation ax+by+cz+d=0 and provides parametric representations. The lecture also discusses the direction vectors of planes and how to evaluate equations at specific points, emphasizing the constancy of determinants on a plane. Examples and proofs are provided to illustrate the concepts.

Official source

https://mediaspace.epfl.ch/media/0_u32dehlk

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Ontological neighbourhood

Mathematics

Analysis: Differential anaysis

Geometry: Euclidean geometry

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