Difference between revisions of "UnitPerpendicularVector Command"
From GeoGebra Manual
Line 16: | Line 16: | ||
{{betamanual|version=5.0| | {{betamanual|version=5.0| | ||
− | ; | + | ;UnitPerpendicularVector[ <Plane> ] |
:Creates a unit vector orthogonal to the plane. | :Creates a unit vector orthogonal to the plane. | ||
}} | }} | ||
{{note| 1=<div>See also [[PerpendicularVector Command]].</div>}} | {{note| 1=<div>See also [[PerpendicularVector Command]].</div>}} |
Revision as of 15:23, 21 July 2014
- 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}.
CAS Syntax
- 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}}}).
Following text is about a feature that is supported only in GeoGebra 5.0.
|
Note:
See also PerpendicularVector Command.