UnitPerpendicularVector Command

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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}.
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