Difference between revisions of "PerpendicularVector Command"

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:* <code><nowiki>PerpendicularVector[(3, 2)]</nowiki></code> yields the vector ''{-2, 3}''.
 
:* <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>}}
 
:* <code><nowiki>PerpendicularVector[(a, b)]</nowiki></code> yields the vector ''{-b, a}''.</div>}}
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{{betamanual|version=5.0|
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;OrthogonalVector[ <Plane> ]
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:Creates a vector orthogonal to the plane.
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}}
  
 
{{note| 1=<div>See also [[UnitPerpendicularVector Command]].</div>}}
 
{{note| 1=<div>See also [[UnitPerpendicularVector Command]].</div>}}

Revision as of 14:18, 21 July 2014




PerpendicularVector[ <Line> ]
Returns the perpendicular vector of the line.
Example:
Let Line[ (1, 4), (5, -3) ] be the line j. PerpendicularVector[ j ] yields the perpendicular vector u=(7, 4) of the line j.
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.
Example:
Let Segment[ (3, 2), (14, 5) ] be the segment k. PerpendicularVector[ k ] yields the perpendicular vector u=(-3, 11) of the segment k.


PerpendicularVector[ <Vector> ]
Returns the perpendicular vector of the given vector.
Example:
Let Vector[ (-12, 8) ] be the vector u. PerpendicularVector[ u ] yields the perpendicular vector v=(-8, -12) of the vector u.
Note: A vector with coordinates (a, b) has the perpendicular vector (-b, a).


CAS Syntax

PerpendicularVector[ <Vector> ]
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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