Difference between revisions of "UnitPerpendicularVector Command"

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Revision as of 13:41, 10 September 2011


UnitPerpendicularVector[ <Line>]
Returns the perpendicular vector with length 1 of the given line.
Example:
UnitPerpendicularVector[3x + 4y = 5] yields \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] yields \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}] yields {\frac{-b}{\sqrt{a^{2} + b^{2}}}, \frac{a}{\sqrt{a^{2} + b^{2}}}}.
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