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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Originally Posted by Link88 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. You should start by reviewing and then applying the mathematical formulas for these three things. Where do you get stuck?
I get how to use the forumals Im just not sure how to apply when its in the i + j + k form
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 $\displaystyle \vec{r}'(t)= f'(t)\vec{i}+ g'(t)\vec{j}+ h'(t)\vec{k}$.
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