Difference between revisions of "UnitPerpendicularVector Command"
From GeoGebra Manual
Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|vector-matrix}} | {{command|vector-matrix}} | ||
− | ; UnitPerpendicularVector[Line]: Returns the perpendicular vector with length 1 of the given line. | + | ;UnitPerpendicularVector[ <Line>] |
− | : {{ | + | :Returns the perpendicular vector with length 1 of the given line. |
− | ; UnitPerpendicularVector[Segment]: Returns the perpendicular vector with length 1 of the given segment. | + | :{{example|1=<div><code><nowiki>UnitPerpendicularVector[3x + 4y = 5]</nowiki></code> yields ''<math>\begin{pmatrix}0.6\\0.8\end{pmatrix}</math>''.</div>}} |
− | ; UnitPerpendicularVector[Vector]: Returns the perpendicular vector with length 1 of the given vector. The vector must be befined first. | + | ;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|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== | ||
In [[CAS View]] only one syntax is allowed: | In [[CAS View]] only one syntax is allowed: | ||
− | ; UnitPerpendicularVector[Vector]: Yields a perpendicular vector with length 1 of the given vector. | + | ;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{a²+b²}}</math>, <math>\frac{a}{\sqrt{a²+b²}}</math>}''.</div>}} |
Revision as of 11:50, 6 September 2011
- 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.
- 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]
yields \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}]
yields {\frac{-b}{\sqrt{a²+b²}}, \frac{a}{\sqrt{a²+b²}}}.