PerpendicularLine Command

PerpendicularLine( <Point>, <Line> ): Creates a line through the point perpendicular to the given line.

Let c: -3x + 4y = -6 be a line and A = (-2, -3) a point. PerpendicularLine(A, c) yields the line d: -4x - 3y = 17.

PerpendicularLine( <Point>, <Segment> )

Creates a line through the point perpendicular to the given segment.

Let c be the segment between the two points A = (-3, 3) and B = (0, 1). PerpendicularLine(A, c) yields the line d: -3x + 2y = 15.

For 3D objects a third argument is added to this command to specify the behavior: if 2D view is active, plane z=0 is used as third argument, if 3D view is active, space is used instead. See PerpendicularLine( <Point>, <Line>, <Context> ) further below for details.

PerpendicularLine( <Point>, <Vector> ): Creates a line through the point perpendicular to the given vector.

Let u = Vector((5, 3), (1, 1)) and A = (-2, 0) a point. PerpendicularLine(A, u) yields the line c: 2x + y = -4.

PerpendicularLine( <Point>, <Plane> )

Creates a perpendicular line to the plane through the given point.

PerpendicularLine( <Line> , <Line> )

Creates a perpendicular line to the given lines through the intersection point of the two lines.

PerpendicularLine( <Point>, <Direction>, <Direction> )

Creates a perpendicular line to the given directions (that can be lines or vectors) through the given point.

PerpendicularLine( <Point>, <Line>, <Context> )

Creates a perpendicular line to the line through the point and depending on the context.

PerpendicularLine( <Point>, <Line>, <Plane> ) creates a perpendicular line to the given line through the point and parallel to the plane.
PerpendicularLine( <Point>, <Line>, space ) creates a perpendicular line to the given line through the point. The two lines have an intersection point. This command yields undefined if the point is on the line in 3D.