Difference between revisions of "PerpendicularVector Command"

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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.
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: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= <code>PerpendicularVector[(a,b)]</code> yields the vector ''{-b,a}''.}}
+
:{{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 10:24, 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}.}}
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