UnitVector Command
From GeoGebra Manual
Revision as of 09:49, 23 August 2011 by Andrea.duringer (talk | contribs)
- 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}}}.
- Example:
UnitVector[{2,4,4}]
returns {\frac{1}{3},\frac{2}{3},\frac{2}{3}}.