Difference between revisions of "PerpendicularVector Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|vector-matrix}} |
| − | {{command|cas=true|vector-matrix}} | + | ;PerpendicularVector( <Line> ) |
| − | ;PerpendicularVector | + | :Returns the perpendicular vector of the line. |
| − | :Returns the perpendicular vector of the line. | + | :{{example|1=<div> Let <code><nowiki>Line((1, 4), (5, -3))</nowiki></code> be the line ''j''. <code><nowiki>PerpendicularVector(j)</nowiki></code> yields the perpendicular vector ''u=(7, 4)'' of the line ''j''.</div>}} |
:{{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 | + | |
| − | :Returns the perpendicular vector of the segment with the same length. | + | ;PerpendicularVector( <Segment> ) |
| − | ; PerpendicularVector | + | :Returns the perpendicular vector of the segment with the same length. |
| + | :{{example|1=<div> Let <code><nowiki>Segment((3, 2), (14, 5))</nowiki></code> be the segment ''k''. <code><nowiki>PerpendicularVector(k)</nowiki></code> yields the perpendicular vector ''u=(-3, 11)'' of the segment ''k''.</div>}} | ||
| + | ; PerpendicularVector( <Vector> ) | ||
: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>}} |
| − | = | + | :{{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}''.}} | |
| − | : | + | }} |
| − | :{{example| | + | |
| − | + | ;PerpendicularVector( <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>}} | ||
| + | |||
{{note| 1=<div>See also [[UnitPerpendicularVector Command]].</div>}} | {{note| 1=<div>See also [[UnitPerpendicularVector Command]].</div>}} | ||
Latest revision as of 17:40, 29 September 2017
- 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.
