Curvature Cross Product Formula: Proof and Example on Twisted Cubic

In this video, I derive a more convenient formula for the curvature of a space curve, which involves the cross product of the first two derivatives of the vector function. I derive this using the fact that the unit tangent vector has a constant length of 1 (i.e. hence the term "unit"), thus it is perpendicular to its derivative, allowing us to simplify the length of the cross product.

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#math #vectors #calculus #crossproduct #curvature

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