New coordinate system and point location in new system

[AliKaragisi]

hi all,
firstly i need to calculate point location in new coordinate system. ı have 2 line segments and a point(x,y,z) in word cartesian coordinates system. For example, my first line segment is (0,0,5) , (50,0,3) locations and second line segment is (0,6,3),(0,-6,7) locations in cartesian coordinates. My purpose is that ı want to set my new coordinate system using line segments. These segments are verticaly intersect.

 

[BvU]

Hello Ali, $\qquad$ $\qquad$ !

Not completeley clear what you want to do from your description.

These segments are verticaly intersect

You mean 'intersect perpendicularly ?' Do they ?

 

[AliKaragisi]

YES, this segments is perpendicular. in fact, i have two perpendicular segments in word cordinate system and this segments rotated with angle. ı need to set coordinate system on this segments. After set new corrdinate system, segments don't have angle. my purpose is calculating point(x,y,z) coordinates in new coordinate sysem. İ tried vektorel transformation but this method is very slow for my software.

 

[BvU]

I had missed the pictures. Will look at them.