(adsbygoogle = window.adsbygoogle || []).push({}); Unit tangent vector in 3D - and what am I doing wrong with latex?

Question: At a given point on a curve, does the unit tangent vector given by

[tex]\frac{\vec{r}'(t)}{|\vec{r}'(t)|}[/tex]

depend on the direction in which the curve is being swept out?

My initial thought on this was that the unit tangent vector didn't depend on direction because it only depends on [tex]t[/tex]. But now I am thinking that it would matter, but only in the case that [tex]\vec{r}(t)[/tex] was not continuous at [tex]t[/tex]. Any thoughts or advice?

Thanks,

Steve

And what am I doing wrong that latex isn't working?

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# Homework Help: Unit tangent vector in 3D

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