UnitPerpendicularVector Command
From GeoGebra Manual
(Redirected from UnitOrthogonalVector Command)
- UnitPerpendicularVector( <Line>)
- Returns the perpendicular vector with length 1 of the given line.
- Example:
UnitPerpendicularVector(3x + 4y = 5)
yields \begin{pmatrix}0.6\\0.8\end{pmatrix}.
- UnitPerpendicularVector( <Segment> )
- Returns the perpendicular vector with length 1 of the given segment.
- Example:Let
s = Segment((1,1), (4,5))
.UnitPerpendicularVector(s)
yields \begin{pmatrix}-0.8\\0.6\end{pmatrix}.
- UnitPerpendicularVector( <Vector> )
- Returns the perpendicular vector with length 1 of the given vector. The vector must be defined first.
- Example:Let v=\begin{pmatrix}3\\4\end{pmatrix}.
UnitPerpendicularVector(v)
yields \begin{pmatrix}-0.8\\0.6\end{pmatrix}.
Note: In the CAS View vectors with undefined variables are also valid input.
- Example:
UnitPerpendicularVector((a, b))
yields (\frac{-b}{\sqrt{a^{2} + b^{2}}},\frac{a}{\sqrt{a^{2} + b^{2}}}).
CAS Syntax
- UnitPerpendicularVector( <Plane> )
- Creates a unit vector orthogonal to the plane.
Note:
See also PerpendicularVector Command.