Difference between revisions of "PerpendicularVector Command"
From GeoGebra Manual
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: {{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. | + | ; PerpendicularVector[Segment]: Returns the perpendicular vector of the segment with the same length. |
; PerpendicularVector[Vector v]: Returns the perpendicular vector of the given vector. | ; 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-View== | ||
+ | ; PerpendicularVector[Vector v]: Returns the perpendicular vector of the given vector. | ||
+ | |||
+ | {{example|1=<code>PerpendicularVector[(3,2)]</code> yields ''{-2,3}''. <code>PerpendicularVector[(a,b)]</code> yields ''{-b,a}''.}} |
Revision as of 14:19, 8 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-View
- PerpendicularVector[Vector v]
- Returns the perpendicular vector of the given vector.
Example:
PerpendicularVector[(3,2)]
yields {-2,3}. PerpendicularVector[(a,b)]
yields {-b,a}.