Difference between revisions of "UnitPerpendicularVector Command"
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:{{example|1=<div>Let v=<math>\begin{pmatrix}3\\4\end{pmatrix}</math>. <code><nowiki>UnitPerpendicularVector[v]</nowiki></code> yields ''<math>\begin{pmatrix}-0.8\\0.6\end{pmatrix}</math>''.</div>}} | :{{example|1=<div>Let v=<math>\begin{pmatrix}3\\4\end{pmatrix}</math>. <code><nowiki>UnitPerpendicularVector[v]</nowiki></code> yields ''<math>\begin{pmatrix}-0.8\\0.6\end{pmatrix}</math>''.</div>}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
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;UnitPerpendicularVector[ <Vector> ] | ;UnitPerpendicularVector[ <Vector> ] | ||
:Yields a perpendicular vector with length 1 of the given vector. | :Yields a perpendicular vector with length 1 of the given vector. | ||
:{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields {<math>\frac{-b}{\sqrt{a^{2} + b^{2}}}</math>, <math>\frac{a}{\sqrt{a^{2} + b^{2}}}</math>}.</div>}} | :{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields {<math>\frac{-b}{\sqrt{a^{2} + b^{2}}}</math>, <math>\frac{a}{\sqrt{a^{2} + b^{2}}}</math>}.</div>}} | ||
Revision as of 14:44, 14 December 2012
- 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
- 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}}}}.
