If you want to know the distance between a point and line in 3D space :

1 - you calculate the vector director (= vecteur directeur ?) u-> of the line

2 - you select any point A from your line

3 - you calculate the vector AB->

4 - you calculate || (AB->) ^ (u->) || / || u-> || , with || . || euclidian norm and ^ cross product

the distance is d = || (AB->) ^ (u->) || / || u-> ||

Prince

2013/12/26 Max <abonnements@revolwear.com>

Hi João,
I patched something for you, maybe it's useful.

http://mathsfirst.massey.ac.nz/Algebra/PythagorasTheorem/pythapp.htm

Am 11.12.2013 um 02:30 schrieb João Pais <jmmmpais@googlemail.com>:

> Am 06.12.2013, 00:51 Uhr, schrieb Claude Heiland-Allen <claude@mathr.co.uk>:
>
>> On 05/12/13 23:40, João Pais wrote:
>>> Hello list,
>>>
>>> I had a doubt, will try to explain.
>>>
>>> I wanted to define a line in a 3d space through 2 points, and be able to
>>> find out the distance from another point to that line. Since I'm very
>>> bad at math, I wanted to know if anyone has done something similar, or
>>> knows how to get to it.
>>
>> http://paulbourke.net/geometry/pointlineplane/
>>
>> first example on the page, you just need to clamp u to [0..1] if you
>> want to make it work for a line segment instead of an infinite line.
>
> it looks interesting, and I also checked for more content with a similar title. the thing is, my math/geometry skills are too bad, and I don't understand where they get the formulas for the points and lines. I'll keep watching the links, but I might not get it in time for the purpose I was looking for.
>
> thanks anyway,
>
> João
>
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