RE: LeoThread 2026-01-06 00-51
You are viewing a single comment's thread:
Curvature Cross Product Formula: Proof and Example on Twisted Cubic
0
0
0.000
You are viewing a single comment's thread:
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.