Difference between revisions of "UnitVector Command"
From GeoGebra Manual
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<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}} | ||
− | ; UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector. | + | ; 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|1= | + | : {{Example|1=Let ''v=<math>\begin{pmatrix}3\\4\end{pmatrix}</math>. <code>UnitVector[v]</code> returns ''<math>\begin{pmatrix}0.6\\0.8\end{pmatrix}</math>''.}} |
; UnitVector[Line]: Yields the direction vector of the given line, with length 1 . | ; UnitVector[Line]: Yields the direction vector of the given line, with length 1 . | ||
+ | : {{Example|1=<code>UnitVector[3x + 4y = 5]</code> returns ''<math>\begin{pmatrix}0.8\\-0.6\end{pmatrix}</math>''.}} | ||
; UnitVector[Segment]: Yields the direction vector of the given segment, with length 1 | ; UnitVector[Segment]: Yields the direction vector of the given segment, with length 1 | ||
+ | |||
==CAS Syntax== | ==CAS Syntax== | ||
In [[CAS View]] only one syntax is allowed: | In [[CAS View]] only one syntax is allowed: | ||
; UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector. | ; UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector. | ||
: {{Example|1=<code>UnitVector[{a,b}]</code> returns ''{<math>\frac{a}{\sqrt{a²+b²}}</math>,<math>\frac{b}{\sqrt{a²+b²}}</math>}''.}} | : {{Example|1=<code>UnitVector[{a,b}]</code> returns ''{<math>\frac{a}{\sqrt{a²+b²}}</math>,<math>\frac{b}{\sqrt{a²+b²}}</math>}''.}} |
Revision as of 09:37, 23 August 2011
- 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]
returns \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]
returns \begin{pmatrix}0.8\\-0.6\end{pmatrix}.
- UnitVector[Segment]
- Yields the direction vector of the given segment, with length 1
CAS Syntax
In CAS View only one syntax is allowed:
- UnitVector[Vector]
- Yields a vector with length 1, which has the same direction and orientation as the given vector.
- Example:
UnitVector[{a,b}]
returns {\frac{a}{\sqrt{a²+b²}},\frac{b}{\sqrt{a²+b²}}}.