Curvature: Definition and Curvature of a Circle is 1/Radius

In this video, I go over the definition of curvature, which describes how quickly a curve changes direction at a given point. It is defined as the magnitude of the derivative of the unit tangent vector in terms of its arc length, so that it is independent of any specific parameterization. YouTube - Summary - Notes - Playlist - Vector Functions

#math #vectors #calculus #arclength #curvature

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