Let $\displaystyle r(t) = 3 sin({\it t}{\bf i}) + 3 cos ({\it t}{\bf j}) + 4{\it t}{\bf k}$. At $\displaystyle t = 0$, find

(i) the unit tangent vector T,

(ii) the unit normal vector N,

(iii) the curvature κ,

(iv) the binormal vector B,

(v) the torsion $\displaystyle \tau$

I'll come back to this one with my thoughts on it.

For the moment, I must go catch some shuteye...