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.

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- Jun 8th 2009, 05:57 PMLink88unit 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.

- Jun 8th 2009, 07:36 PMmr fantastic
- Jun 8th 2009, 07:54 PMLink88
I get how to use the forumals Im just not sure how to apply when its in the i + j + k form

- Jun 9th 2009, 11:34 AMHallsofIvy
Given a curve in the form $\displaystyle \vec{r}(t)= f(t)\vec{i}+ g(t)\vec{j}+ h(t)\vec{k}$, a tangent vector but not necessarily the unit tangent, is $\displaystyle \vec{r}'(t)= f'(t)\vec{i}+ g'(t)\vec{j}+ h'(t)\vec{k}$.