Difference between revisions of "UnitPerpendicularVector Command"
From GeoGebra Manual
(added v.4) |
|||
Line 2: | Line 2: | ||
{{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. | ||
+ | : {{Example|1=<code>UnitPerpendicularVector[3x + 4y = 5]</code> returns ''<math>\begin{pmatrix}0.6\\0.8\end{pmatrix}</math>''.}} | ||
; UnitPerpendicularVector[Segment]: Returns the perpendicular vector with length 1 of the given segment. | ; 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. | + | ; UnitPerpendicularVector[Vector]: Returns the perpendicular vector with length 1 of the given vector. The vector must be befined first. |
+ | : {{Example|1=Let ''v=<math>\begin{pmatrix}3\\4\end{pmatrix}</math>. <code>UnitPerpendicularVector[v]</code> returns ''<math>\begin{pmatrix}-0.8\\0.6\end{pmatrix}</math>''.}} | ||
+ | |||
+ | ==CAS Syntax== | ||
+ | In [[CAS View]] only one syntax is allowed: | ||
+ | ; UnitPerpendicularVector[Vector]: Yields a perpendicular vector with length 1 of the given vector. | ||
+ | : {{Example|1=<code>UnitPerpendicularVector[{a,b}]</code> returns ''{<math>\frac{-b}{\sqrt{a²+b²}}</math>,<math>\frac{a}{\sqrt{a²+b²}}</math>}''.}} | ||
+ | : {{Example|1= <code>UnitPerpendicularVector[{2, 4, 4}]</code> returns ''{- 2/3, 1/3, 0}''.}} |
Revision as of 10:13, 23 August 2011
- UnitPerpendicularVector[Line]
- Returns the perpendicular vector with length 1 of the given line.
- Example:
UnitPerpendicularVector[3x + 4y = 5]
returns \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]
returns \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}]
returns {\frac{-b}{\sqrt{a²+b²}},\frac{a}{\sqrt{a²+b²}}}.
- Example:
UnitPerpendicularVector[{2, 4, 4}]
returns {- 2/3, 1/3, 0}.