Difference between revisions of "UnitVector Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> |
{{command|cas=true|vector-matrix}} | {{command|cas=true|vector-matrix}} | ||
;UnitVector[ <Vector> ] | ;UnitVector[ <Vector> ] | ||
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;UnitVector[ <Vector> ] | ;UnitVector[ <Vector> ] | ||
:Yields a vector with length 1, which has the same direction and orientation as the given vector. | :Yields a vector with length 1, which has the same direction and orientation as the given vector. | ||
| − | :{{example|1=<div><code><nowiki>UnitVector[(a, b)]</nowiki></code> yields ''(<math>\frac{a}{\sqrt{a | + | :{{example|1=<div><code><nowiki>UnitVector[(a, b)]</nowiki></code> yields ''(<math>\frac{a}{\sqrt{a a + b b}}</math>, <math>\frac{b}{\sqrt{a^{2} + b^{2}}}</math>)''.</div>}} |
:{{example|1=<div><code><nowiki>UnitVector[(2, 4, 4)]</nowiki></code> yields ''(<math>\frac{1}{3}</math>, <math>\frac{2}{3}</math>, <math>\frac{2}{3}</math>)''.</div>}} | :{{example|1=<div><code><nowiki>UnitVector[(2, 4, 4)]</nowiki></code> yields ''(<math>\frac{1}{3}</math>, <math>\frac{2}{3}</math>, <math>\frac{2}{3}</math>)''.</div>}} | ||
Revision as of 10:22, 28 July 2015
- UnitVector[ <Vector> ]
- Yields a vector with length 1, which has the same direction and orientation as the given vector. The vector must be defined first.
- Example:Let v=\begin{pmatrix}3\\4\end{pmatrix}.
UnitVector[v]yields \begin{pmatrix}0.6\\0.8\end{pmatrix}.
- UnitVector[ <Line> ]
- Yields the direction vector of the given line with length 1.
- Example:
UnitVector[3x + 4y = 5]yields \begin{pmatrix}0.8\\-0.6\end{pmatrix}.
- UnitVector[ <Segment> ]
- Yields the direction vector of the given segment with length 1.
- Example:Let
s = Segment[(1,1),(4,5)].UnitVector[s]yields \begin{pmatrix}0.6\\0.8\end{pmatrix}.
CAS Syntax
- UnitVector[ <Vector> ]
- Yields a vector with length 1, which has the same direction and orientation as the given vector.
- Example:
UnitVector[(a, b)]yields (\frac{a}{\sqrt{a a + b b}}, \frac{b}{\sqrt{a^{2} + b^{2}}}).
- Example:
UnitVector[(2, 4, 4)]yields (\frac{1}{3}, \frac{2}{3}, \frac{2}{3}).
