Difference between revisions of "PerpendicularVector Command"
From GeoGebra Manual
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:Returns the perpendicular vector of the given vector. | :Returns the perpendicular vector of the given vector. | ||
:{{example|1=<div> Let <code><nowiki>Vector[ (-12, 8) ]</nowiki></code> be the vector ''u''. <code><nowiki>PerpendicularVector[ u ]</nowiki></code> yields the perpendicular vector ''v=(-8, -12)'' of the vector ''u''.</div>}} | :{{example|1=<div> Let <code><nowiki>Vector[ (-12, 8) ]</nowiki></code> be the vector ''u''. <code><nowiki>PerpendicularVector[ u ]</nowiki></code> yields the perpendicular vector ''v=(-8, -12)'' of the vector ''u''.</div>}} | ||
− | :{{note| | + | :{{note| In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables are allowed as well. |
+ | ::{{example|<code><nowiki>PerpendicularVector[(a, b)]</nowiki></code> yields the vector ''{-b, a}''.}} | ||
+ | }} | ||
;PerpendicularVector[ <Plane> ] | ;PerpendicularVector[ <Plane> ] | ||
:Creates a vector orthogonal to the plane. | :Creates a vector orthogonal to the plane. | ||
:{{example|1=<div> <code><nowiki>PerpendicularVector[ xOyPlane ]</nowiki></code> yields the perpendicular vector ''u=(0, 0, 1)'' of the xOy plane.</div>}} | :{{example|1=<div> <code><nowiki>PerpendicularVector[ xOyPlane ]</nowiki></code> yields the perpendicular vector ''u=(0, 0, 1)'' of the xOy plane.</div>}} | ||
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{{note| 1=<div>See also [[UnitPerpendicularVector Command]].</div>}} | {{note| 1=<div>See also [[UnitPerpendicularVector Command]].</div>}} |
Revision as of 14:08, 1 October 2015
- 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: In the CAS View undefined variables are allowed as well.
- Example:
PerpendicularVector[(a, b)]
yields the vector {-b, a}.
- PerpendicularVector[ <Plane> ]
- Creates a vector orthogonal to the plane.
- Example:
PerpendicularVector[ xOyPlane ]
yields the perpendicular vector u=(0, 0, 1) of the xOy plane.
Note:
See also UnitPerpendicularVector Command.