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MathGroup Archive 2002

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Newbie mathematica question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37123] Newbie mathematica question
  • From: "Anonymous" <not at for.you>
  • Date: Thu, 10 Oct 2002 03:21:13 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi, I have defined a function from R -> R^3 as follows:

f[t_] = {t + Sqrt[3] Sin[t], 2 Cos[t], t Sqrt[3] - Sin[t]}

So It's basically a vector whose coordinates are determined based on the
values you pass in.

Then I took the derivative by just typing f', which outputs

{1 + Sqrt[3] Cos[#1], -2 Sin[#1], Sqrt[3] - Cos[#1]}&


What I'd like to do is have Mathematica calculate the norm of this as it
would any vector, so that I can play with the norm function.  As it turns
out, the norm in this case is identical to Sqrt[8], so it would be nice if
Mathematica could figure that out.  Is it possible to do this?

Thanks



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