Difference between revisions of "UnitPerpendicularVector Command"
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;UnitPerpendicularVector[ <Line>] | ;UnitPerpendicularVector[ <Line>] | ||
:Returns the perpendicular vector with length 1 of the given line. | :Returns the perpendicular vector with length 1 of the given line. |
Revision as of 15:12, 11 August 2015
- 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.
- Example:Let
s = Segment[(1,1), (4,5)]
.UnitPerpendicularVector[s]
yields \begin{pmatrix}-0.8\\0.6\end{pmatrix}.
- UnitPerpendicularVector[ <Vector> ]
- Returns the perpendicular vector with length 1 of the given vector. The vector must be defined 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{b b + a a}}, \frac{a}{\sqrt{b b + a a}}).
- UnitPerpendicularVector[ <Plane> ]
- Creates a unit vector orthogonal to the plane.
Note:
See also PerpendicularVector Command.