UnitPerpendicularVector Command
From GeoGebra Manual
Revision as of 13:06, 6 September 2011 by Alexander Hartl (talk | contribs)
- 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.
- UnitPerpendicularVector[ <Vector> ]
- Returns the perpendicular vector with length 1 of the given vector. The vector must be befined first.
- Example:Let v=\begin{pmatrix}3\\4\end{pmatrix}.
UnitPerpendicularVector[v]
yields \begin{pmatrix}-0.8\\0.6\end{pmatrix}.
CAS Syntax
In CAS View only one syntax is allowed:
- UnitPerpendicularVector[ <Vector> ]
- Yields a perpendicular vector with length 1 of the given vector.
- Example:
UnitPerpendicularVector[{a, b}]
yields {\frac{-b}{\sqrt{a^{2}+b^{2}}}, \frac{a}{\sqrt{a^{2}+b^{2}}}}.