Difference between revisions of "PerpendicularVector Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.0}}</noinclude> | <noinclude>{{Manual Page|version=4.0}}</noinclude> | ||
{{command|vector-matrix}} | {{command|vector-matrix}} | ||
− | ;PerpendicularVector[Line]: Returns the perpendicular vector of the line. | + | ;PerpendicularVector[Line] |
+ | :Returns the perpendicular vector of the line. | ||
:{{note|1=A line with equation ''ax + by = c'' has the perpendicular vector ''(a, b)''.}} | :{{note|1=A line with equation ''ax + by = c'' has the perpendicular vector ''(a, b)''.}} | ||
− | ;PerpendicularVector[Segment]: Returns the perpendicular vector of the segment with the same length. | + | ;PerpendicularVector[Segment] |
− | ; PerpendicularVector[Vector v]: Returns the perpendicular vector of the given vector. | + | :Returns the perpendicular vector of the segment with the same length. |
+ | ; PerpendicularVector[Vector v] | ||
+ | :Returns the perpendicular vector of the given vector. | ||
:{{note| A vector with coordinates ''(a, b)'' has the perpendicular vector ''(-b, a)''.}} | :{{note| A vector with coordinates ''(a, b)'' has the perpendicular vector ''(-b, a)''.}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
− | ; PerpendicularVector[Vector v]: Returns the perpendicular vector of the given vector. | + | ; PerpendicularVector[Vector v] |
− | {{example|1= <code>PerpendicularVector[(3,2)]</code> yields the vector ''{-2,3}''.}} | + | :Returns the perpendicular vector of the given vector. |
− | + | :{{example|1=<div> | |
+ | :* <code><nowiki>PerpendicularVector[(3,2)]</nowiki></code> yields the vector ''{-2, 3}''.}} | ||
+ | :* <code><nowiki>PerpendicularVector[(a,b)]</nowiki></code> yields the vector ''{-b, a}''.</div>}} |
Revision as of 11:24, 23 August 2011
- PerpendicularVector[Line]
- Returns the perpendicular vector of the line.
- Note: A line with equation ax + by = c has the perpendicular vector (a, b).
- PerpendicularVector[Segment]
- Returns the perpendicular vector of the segment with the same length.
- PerpendicularVector[Vector v]
- Returns the perpendicular vector of the given vector.
- Note: A vector with coordinates (a, b) has the perpendicular vector (-b, a).
CAS Syntax
- PerpendicularVector[Vector v]
- Returns the perpendicular vector of the given vector.
- Example:
PerpendicularVector[(3,2)]
yields the vector {-2, 3}.
PerpendicularVector[(a,b)]
yields the vector {-b, a}.}}