Problem 3: Assuming that vecc)s) is a smooth path parametrized by its arc length s, with curvature κ and torsion τ. In class, we showed that dvecT)))/ds) = κ vecN), and dvecB)))/ds) = -τ vecN) x vecT). Which of the following statements is true regarding the relationship between the derivatives of the tangent vector, normal vector, and binormal vector along the path?

A) dvecT)))/ds) = κ vecN)
B) dvecN)))/ds) = κ vecT)
C) dvecB)))/ds) = τ vecN) x vecT)
D) dvecB)))/ds) = κ vecN) x vecT)