Difference between revisions of "UnitPerpendicularVector Command"
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:{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields (<math>\frac{-b}{\sqrt{b b + a a}}</math>, <math>\frac{a}{\sqrt{b b + a a}}</math>).</div>}} | :{{example|1=<div><code><nowiki>UnitPerpendicularVector[(a, b)]</nowiki></code> yields (<math>\frac{-b}{\sqrt{b b + a a}}</math>, <math>\frac{a}{\sqrt{b b + a a}}</math>).</div>}} | ||
| − | + | ;UnitPerpendicularVector[ <Plane> ] | |
:Creates a unit vector orthogonal to the plane. | :Creates a unit vector orthogonal to the plane. | ||
| − | |||
{{note| 1=<div>See also [[PerpendicularVector Command]].</div>}} | {{note| 1=<div>See also [[PerpendicularVector Command]].</div>}} | ||
Revision as of 10:48, 29 July 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.
