Curvature
For a smooth space curve, the curvature measures how fast the curve is bending or changing direction at a given point.
Given a curve g(x) in red. Move the slider t slowly to view the curvature at P.
v is a unit tangent vector of the curve at P.
a. Describe the curve's behavior when curvature κ = 0.
b. Describe the curve's behavior when |κ| is greatest.
c. Describe the curve's behavior when κ < 0, κ > 0.