(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose [tex]\alpha[/tex] is a regular curve in [tex]\mathbb{R}^3[/tex] with arc-length parametrization such that the torsion [tex]\tau(s)\neq 0[/tex], and suppose that there is a vector [tex]Y\in \mathbb{R}^3[/tex] such that [tex]<\alpha',Y>=A[/tex] for some constant A. Show that [tex]\frac{k(s)}{\tau(s)}=B[/tex] for some constant B, where k(s) is the curvature of alpha.

3. The attempt at a solution

I think the Frenet formula in question that I can use is [tex]n'=-kt-\tau b[/tex], but I can't make it work.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Space Curve

**Physics Forums | Science Articles, Homework Help, Discussion**