PerpendicularVector Command
From GeoGebra Manual
- PerpendicularVector[ <Line> ]
- Returns the perpendicular vector of the line.
- Example:Let
Line[ (1, 4), (5, -3) ]
be the line j.PerpendicularVector[ j ]
yields the perpendicular vector u=(7, 4) of the line j.
- Note: A line with equation ax + by = c has the perpendicular vector (a, b).
- PerpendicularVector[ <Segment> ]
- Returns the perpendicular vector of the segment with the same length.
- Example:Let
Segment[ (3, 2), (14, 5) ]
be the segment k.PerpendicularVector[ k ]
yields the perpendicular vector u=(-3, 11) of the segment k.
- PerpendicularVector[ <Vector> ]
- Returns the perpendicular vector of the given vector.
- Example:Let
Vector[ (-12, 8) ]
be the vector u.PerpendicularVector[ u ]
yields the perpendicular vector v=(-8, -12) of the vector u.
- Note: A vector with coordinates (a, b) has the perpendicular vector (-b, a).
- PerpendicularVector[ <Plane> ]
- Creates a vector orthogonal to the plane.
- Example:
PerpendicularVector[ xOyPlane ]
yields the perpendicular vector u=(0, 0, 1) of the xOy plane.
CAS Syntax
- PerpendicularVector[ <Vector> ]
- Returns the perpendicular vector of the given vector.
- Example:
PerpendicularVector[(3, 2)]
yields the vector {-2, 3}.PerpendicularVector[(a, b)]
yields the vector {-b, a}.
Note:
See also UnitPerpendicularVector Command.