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MathGroup Archive 2006

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Re: Dot Product in Cylindrical Coordinates

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69232] Re: [mg69211] Dot Product in Cylindrical Coordinates
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Sun, 3 Sep 2006 01:39:33 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 1 Sep 2006, at 23:41, Sergio Miguel Terrazas Porras wrote:

> Hello group:
>
> When I calculate the dot product of vectors {1,Pi/4,0} and {2,0,1} in
> Cylindrical Coordinates Mathematica 5.1 returns the result Sqrt[2],  
> when the
> result should be 2.
> What is going on ?
> Thanks
> Sergio Terrazas
>

The correct way to do this is:

<< "Calculus`VectorAnalysis`"

SetCoordinates[Cylindrical[\[Rho], \[Phi], z]];

Simplify[(JacobianMatrix[] . {1, Pi/4, 0}) . (JacobianMatrix[] . {2,  
0, 1})]
2

For explanation see the thread:

http://forums.wolfram.com/mathgroup/archive/2004/Oct/msg00273.html


Andrzej Kozlowski


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