Difference between revisions of "UnitVector Command"
From GeoGebra Manual
m |
m (changed CAS syntax description) |
||
| Line 9: | Line 9: | ||
:Yields the direction vector of the given segment with length 1. | :Yields the direction vector of the given segment with length 1. | ||
:{{example|1=<div>Let <code><nowiki>s = Segment[(1,1),(4,5)]</nowiki></code>. <div><code><nowiki>UnitVector[s]</nowiki></code> yields ''<math>\begin{pmatrix}0.6\\0.8\end{pmatrix}</math>''.</div></div>}} | :{{example|1=<div>Let <code><nowiki>s = Segment[(1,1),(4,5)]</nowiki></code>. <div><code><nowiki>UnitVector[s]</nowiki></code> yields ''<math>\begin{pmatrix}0.6\\0.8\end{pmatrix}</math>''.</div></div>}} | ||
| − | ==CAS | + | |
| − | + | {{hint|1= | |
| − | + | In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] three-dimensional vectors and vectors with undefined variables are also valid inputs. | |
| − | :{{ | + | :{{examples|1=<div> |
| − | : | + | :*<code><nowiki>UnitVector[(a, b)]</nowiki></code> yields ''(<math>\frac{a}{\sqrt{a a + b b}}</math>, <math>\frac{b}{\sqrt{a a + b b}}</math>)''. |
| + | :* <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 10:06, 21 September 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}.
Hint: In the 
CAS View three-dimensional vectors and vectors with undefined variables are also valid inputs.
- Examples:
UnitVector[(a, b)]yields (\frac{a}{\sqrt{a a + b b}}, \frac{b}{\sqrt{a a + b b}}).UnitVector[(2, 4, 4)]yields (\frac{1}{3}, \frac{2}{3}, \frac{2}{3}).
