UnitPerpendicularVector Command
From GeoGebra Manual
Revision as of 10:13, 23 August 2011 by Andrea.duringer (talk | contribs)
- UnitPerpendicularVector[Line]
- Returns the perpendicular vector with length 1 of the given line.
- Example:
UnitPerpendicularVector[3x + 4y = 5]
returns \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]
returns \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}]
returns {\frac{-b}{\sqrt{a²+b²}},\frac{a}{\sqrt{a²+b²}}}.
- Example:
UnitPerpendicularVector[{2, 4, 4}]
returns {- 2/3, 1/3, 0}.