       Re: Dot Product in Cylindrical Coordinates

• To: mathgroup at smc.vnet.net
• Subject: [mg69285] Re: Dot Product in Cylindrical Coordinates
• From: p-valko at tamu.edu
• Date: Tue, 5 Sep 2006 05:30:58 -0400 (EDT)
• References: <eddqs4\$406\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```No Hodge star here, but if you mean by dot product the product of their
Cartesian lengths multiplied by the Cos of the angle between them, then

In:=
<< "Calculus`VectorAnalysis`"
vcar1=CoordinatesToCartesian[{1, Pi/4, 0},Cylindrical];
vcar2=CoordinatesToCartesian[ {2, 0, 1},Cylindrical];
vcar1.vcar2//InputForm

Out//InputForm=
Sqrt

David Park wrote:
> Sergio,
>
> I get 2 also, using an independent calculation using differential forms and
> Hodge star.
>
> I think the Mathematica vector calculus package get confused between the
> points and the tangent vectors.
>
> David Park
>
> From: Sergio Miguel Terrazas Porras [mailto:sterraza at uacj.mx]
To: mathgroup at smc.vnet.net
>
> 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, when the
> result should be 2.
> What is going on ?
> Thanks
> Sergio Terrazas

```

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