Difference between revisions of "UnitPerpendicularVector Command"
From GeoGebra Manual
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:Yields a perpendicular vector with length 1 of the given vector. | :Yields a perpendicular vector with length 1 of the given vector. | ||
:{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields (<math>\frac{-b}{\sqrt{a^{2} + b^{2}}}</math>, <math>\frac{a}{\sqrt{a^{2} + b^{2}}}</math>).</div>}} | :{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields (<math>\frac{-b}{\sqrt{a^{2} + b^{2}}}</math>, <math>\frac{a}{\sqrt{a^{2} + b^{2}}}</math>).</div>}} | ||
+ | |||
+ | {{betamanual|version=5.0| | ||
+ | ;UnitOrthogonalVector[ <Plane> ] | ||
+ | :Creates a unit vector orthogonal to the plane. | ||
+ | }} |
Revision as of 14:20, 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.
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