# unit tangent and normal vectors

• June 8th 2009, 05:57 PM
unit tangent and normal vectors
r(t)=cos(t)i + sin(t)j + (t)k. Find the unit tangent and normal vectors as well as the curvature. Sketch the graph.
• June 8th 2009, 07:36 PM
mr fantastic
Quote:

Given a curve in the form $\vec{r}(t)= f(t)\vec{i}+ g(t)\vec{j}+ h(t)\vec{k}$, a tangent vector but not necessarily the unit tangent, is $\vec{r}'(t)= f'(t)\vec{i}+ g'(t)\vec{j}+ h'(t)\vec{k}$.