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MathGroup Archive 2006

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Re: Dot Product in Cylindrical Coordinates

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69327] Re: Dot Product in Cylindrical Coordinates
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Thu, 7 Sep 2006 04:30:18 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <edm0rl$cj0$1@smc.vnet.net>

In article <edm0rl$cj0$1 at smc.vnet.net>,
 "David Park" <djmp at earthlink.net> wrote:

> I still want to keep this alive. Perhaps the terminology is ambiguous?

Answer this, when Sergio says the vector {1,Pi/4,0} is in Cylindrical 
Coordinates what, exactly, do you think he means? Again, I highlight the 
Pi/4 in the second position.

Also, I am not defending the VectorAnalysis package. Indeed, I prefer to 
use the Symbolic Vector Analysis package developed by Hong Qin, 
available at

 http://www.physics.uwa.edu.au/pub/Mathematica/Calculus/

After loading this package, (naively) declaring the two vectors as

  A = DefineVector[1, 1, Pi/4, 0]; B = DefineVector[1, 2, 0, 1]; 

then

  DotProduct[A, B]

  2

All of the issues that you raise are resolved by using Qin's package.

Cheers,
Paul

_______________________________________________________________________
Paul Abbott                                      Phone:  61 8 6488 2734
School of Physics, M013                            Fax: +61 8 6488 1014
The University of Western Australia         (CRICOS Provider No 00126G)    
AUSTRALIA                               http://physics.uwa.edu.au/~paul


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