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[DPRG] which vector? what vector?

Subject: [DPRG] which vector? what vector?
From: Dean Hall dwhall256 at gmail.com
Date: Sun Apr 27 18:46:24 CDT 2008

"Vector (spatial), an object defined by both magnitude and direction;  
in contrast to a scalar, an object with magnitude only."
-- http://en.wikipedia.org/wiki/Vector_%28spatial%29

Notice that it says direction.  That can be any unit of direction and  
any number of dimensions.  In your case you said "distance + angle",  
so "distance" is the magnitude and "angle" is the direction.

However if I were to nit-pick, I would say there is something wrong  
with your sentence.  A Cartesian coordinate system means a  
rectangular coordinate system (usually X and Y for 2 dimensions).  So  
a Cartesian vector [3, 4] would be a vector that goes +3 in the X  
direction and +4 in the Y direction and whose magnitude is 5 and  
direction is atan(4/3) or roughly 53.1 degrees counter-clockwise from  
the +X axis.

When you tell me you have a vector given as distance + angle.  I  
would say you have a vector in polar coordinates; whose variables are  
usually given as [r, theta].  r is the distance, theta is the angle.

One can convert Cartesian to Polar systems and back.  Thus the  
Cartesian vector [3, 4] is equivalent to the Polar vector [5, atan 
(4/3)].

!!Dean


On Apr 27, 2008, at 18:02 , Dale Wheat wrote:
> Math folk,
>
> What do you call a distance + angle, specifically on a Cartesean  
> plane?  Is it some kind of vector?  I do so dislike sounding un- 
> edumacated.  You'd think Google would tell me, but no....  In  
> truth, it tells me too much and my currently limited math skills  
> fail me.
>
> I like using the correct terms to describe things, especially in my  
> code.  Any clarification is appreciated.
>
>
> Thanks,
>
> Dale Wheat
>
> (972) 486-1317
> (877) DALE WHEAT
> http://dalewheat.com
> _______________________________________________
> DPRGlist mailing list
> DPRGlist at dprg.org
> http://list.dprg.org/mailman/listinfo/dprglist

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