Difference between revisions of "UnitPerpendicularVector Command"
From GeoGebra Manual
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;UnitPerpendicularVector[ <Segment> ] | ;UnitPerpendicularVector[ <Segment> ] | ||
:Returns the perpendicular vector with length 1 of the given segment. | :Returns the perpendicular vector with length 1 of the given segment. | ||
| + | :{{example|1=<div>Let <code><nowiki>s = Segment[(1,1), (4,5)]</nowiki></code>.<div><code><nowiki>UnitPerpendicularVector[s]</nowiki></code> yields ''<math>\begin{pmatrix}-0.8\\0.6\end{pmatrix}</math>''.</div></div>}} | ||
;UnitPerpendicularVector[ <Vector> ] | ;UnitPerpendicularVector[ <Vector> ] | ||
| − | :Returns the perpendicular vector with length 1 of the given vector. The vector must be | + | :Returns the perpendicular vector with length 1 of the given vector. The vector must be defined first. |
:{{example|1=<div>Let v=<math>\begin{pmatrix}3\\4\end{pmatrix}</math>. <code><nowiki>UnitPerpendicularVector[v]</nowiki></code> yields ''<math>\begin{pmatrix}-0.8\\0.6\end{pmatrix}</math>''.</div>}} | :{{example|1=<div>Let v=<math>\begin{pmatrix}3\\4\end{pmatrix}</math>. <code><nowiki>UnitPerpendicularVector[v]</nowiki></code> yields ''<math>\begin{pmatrix}-0.8\\0.6\end{pmatrix}</math>''.</div>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
;UnitPerpendicularVector[ <Vector> ] | ;UnitPerpendicularVector[ <Vector> ] | ||
: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 | + | :{{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>}} |
Revision as of 09:30, 21 May 2013
- 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}}}).
