Questions tagged [frenet-frame]

I'm having some trouble with the following question: Let $\alpha:[0,2] \to \mathbb R^3$ with $\alpha(t)=(t,t^2,t)$. Find the tangent, normal and binormal vectors at the point $(1,1,1)$. I first tried to reparametrize this curve by arc length. I…

I have solved a simple exercise, but in solving it I came to a contradiction. I want to know if it's correct. In the exercise I have a curve parameterized by the arc length such that: $\alpha (0)=\frac{1}{\sqrt{3}}(1, 1, 0)$ The binormal vector is…