PerpendicularLine Command

PerpendicularLine[ <Point>, <Line> ]

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

Example:

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.

Example:

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.

PerpendicularLine[ <Point>, <Vector> ]

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

Example:

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

Note: See also Perpendicular Line tool.