Arrows in wrong directions

I know the arrows suit the path direction, but i think it is logical suit the direcion left - right, cause if you look on a line you can not see in wich direction the line was drawn.

Those boxes don't indicate left and right; arrow position is determined by the direction in which the line is drawn. 

Here, two strokes drawn staring from opposite sides, with the same arrowhead applied.

That is normal behaviour. It depends on the path direction where the arrow is placed.

You can change the path direction in the Object menu > Path submenu.

Or you can use the little button to the right of the arrow dropdown field in the Stroke palette to invert the arrow.

The first question in such a case is what is your path direction. The arrows suit the path direction, not exactly left-to-right. So, if you draw your line right-to-left, the arrow will direct to the left. 
You can change the path direction using Object > Path > Reverse Path Direction. 

To say something more, we need to know your (exact) Illustrator version and OS.