Find out the shortest distance between two lines.

[table][tr][td][size=100]1.[/size][/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][br][/td][td]Select the [i]Line[/i] tool and create two arbitrary lines [i]f [/i]and [i]g[/i]. [br][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_parallel.png[/icon][/size][/td][td]Select the [i]Parallel Line[/i] tool and create a parallel line [i]h[/i] of [i]g [/i]through point [i]A[/i]. [br][/td][/tr][tr][td][size=100][/size][/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_pointonobject.png[/icon][br][/td][td]Create point [i]E[/i] on the parallel line [i]h[/i] using the [i]Point on Object[/i] tool.[br][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_planethreepoint.png[/icon][/size][/td][td]Create a plane [i]a[/i] through the points [i]A, B[/i] and [i]E[/i] using the [i]Plane through 3 Points[/i] tool.[br][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_pointonobject.png[/icon][/size][/td][td]Create a point [i]F[/i] on line [i]f[/i] using the [i]Point on Object [/i]tool.[br][/td][/tr][tr][td][size=100]5[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_orthogonalthreed.png[/icon][/size][/td][td]Create a perpendicular line [i]i[/i] to plane [i]a[/i] through point [i]F[/i] using the [i]Perpendicular Line[/i] tool. [br][/td][/tr][tr][td][size=100]6.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_plane.png[/icon][/size][/td][td]Create a plane [i]b [/i]through line [i]i[/i] and line [i]f[/i] using the [i]Plane[/i] tool.[size=100][br][/size][/td][/tr][tr][td][size=100]7.[/size][/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][br][/td][td]Create intersection point [i]G[/i] of line [i]g[/i] and plane [i]b[/i][size=100][i] [/i]using the [i]Intersect[/i] tool. [br][/size][/td][/tr][tr][td][size=100]8.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_orthogonal.png[/icon][/size][/td][td]Create perpendicular line [i]j[/i] to plane [i]a[/i] through point [i]G[/i] using the [i]Perpendicular Line[/i] tool. [size=100][br][/size][/td][/tr][tr][td][size=100]9.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Create intersection point [i]H[/i] of line [i]j[/i] and line [i]f[/i] using the [i]Intersect[/i] tool. [br][/size][/td][/tr][tr][td][size=100]10.[/size][/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][br][/td][td]Create the shortest distance between line [i]f[/i] and line [i]g[/i] using the [i]Segment[/i] tool and create a segment between points [i]G[/i] and [i]H[/i].[br][/td][/tr][tr][td][size=100]11.[/size][/td][td][size=100][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/size][/td][td][size=100]Enhance your construction using the [i]Style Bar[/i].[br][/size][/td][/tr][/table]