Difference between revisions of "UnitPerpendicularVector Command"
From GeoGebra Manual
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:Returns the perpendicular vector with length 1 of the given vector. The vector must be defined first. | :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>}} | ||
| + | {{note|In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] vectors with undefined variables are also valid input. | ||
| + | :{{example|<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>}} | ||
| + | }} | ||
| + | |||
==CAS Syntax== | ==CAS Syntax== | ||
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;UnitPerpendicularVector[ <Plane> ] | ;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 11:07, 21 September 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}.
Note: In the 
CAS View vectors with undefined variables are also valid input.
CAS View vectors with undefined variables are also valid input.
- Example:
UnitPerpendicularVector[(a, b)]yields (\frac{-b}{\sqrt{a^{2} + b^{2}}},\frac{a}{\sqrt{a^{2} + b^{2}}}).
CAS Syntax
- UnitPerpendicularVector[ <Plane> ]
- Creates a unit vector orthogonal to the plane.
Note:
See also PerpendicularVector Command.
