Distance between two lines

Task

Find out the shortest distance between two lines.

1.		Select the Line tool and create two arbitrary lines f and g.
2.		Select the Parallel Line tool and create a parallel line h of g through point A.
		Create point E on the parallel line h using the Point on Object tool.
3.		Create a plane a through the points A, B and E using the Plane through 3 Points tool.
4.		Create a point F on line f using the Point on Object tool.
5		Create a perpendicular line i to plane a through point F using the Perpendicular Line tool.
6.		Create a plane b through line i and line f using the Plane tool.
7.		Create intersection point G of line g and plane b using the Intersect tool.
8.		Create perpendicular line j to plane a through point G using the Perpendicular Line tool.
9.		Create intersection point H of line j and line f using the Intersect tool.
10.		Create the shortest distance between line f and line g using the Segment tool and create a segment between points G and H.
11.		Enhance your construction using the Style Bar.