Draw lines from points with given directions

Hello to all!

I'm trying to obtain a set of lines starting from every point of intersection of the net that follow the direction of the lines that meet in the point.

Line SDL works for single inputs, but I don't know how to manage the lists of points that I obtain from the intersection Line to Line and the directions from the points.

The lines that I obtain appear to have random directions...

Any suggestion?

Thank you in advance.