Difference between revisions of "UnitPerpendicularVector Command"

Revision as of 10:29, 28 July 2015

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}.

UnitPerpendicularVector[ <Vector> ]: Yields a perpendicular vector with length 1 of the given vector.; Example:
UnitPerpendicularVector[(a, b)] yields (\frac{-b}{\sqrt{a a + b b}}, \frac{a}{\sqrt{a a + b b}}).

Following text is about a feature that is supported only in GeoGebra 5.0.

UnitPerpendicularVector[ <Plane> ]: Creates a unit vector orthogonal to the plane.

Note:

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-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>
 {{command|cas=true|vector-matrix}}
 ;UnitPerpendicularVector[ <Line>]
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 ;UnitPerpendicularVector[ <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}&#125;}</math>, <math>\frac{a}{\sqrt{a^{2} + b^{2}&#125;}</math>).</div>}}
+:{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields (<math>\frac{-b}{\sqrt{a a + b b&#125;}</math>, <math>\frac{a}{\sqrt{a a + b b&#125;}</math>).</div>}}
 {{betamanual|version=5.0|;UnitPerpendicularVector[ <Plane> ]