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seen Jan 30 '13 at 7:52

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accepted Finding unit tangent, normal, and binormal vectors for a given r(t)
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comment Finding unit tangent, normal, and binormal vectors for a given r(t)
This produces the same answers I ended up with before (which is good!), and is much, much cleaner. Thanks very much!
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comment Finding unit tangent, normal, and binormal vectors for a given r(t)
I'll keep that in mind! You've already helped a lot, but my remaining question, then, I suppose, is concerning N(t): simply taking bigN=D[bigT,t]/Norm[D[bigT,t]] outputs a massive jumble of fractions and roots interspersed with Abs values. Replacing t->1 and passing it through FullSimplify gives a reasonable seeming answer, but I don't have any way of knowing if I can trust it. The same goes for B(t), except that it of course is Cross[bigT,bigN]. Thanks much again, either way!
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comment Finding unit tangent, normal, and binormal vectors for a given r(t)
That's exactly what I was looking for; thanks very much!
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asked Finding unit tangent, normal, and binormal vectors for a given r(t)