Difference between revisions of "UnitVector Command"

Revision as of 11:08, 11 August 2011

UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector.; Example: UnitVector[{2, 4, 4}] returns {\frac{1}{3}, \frac{2}{3}, \frac{2}{3}}.

UnitVector[Line]: Yields the direction vector of the given line, with length 1 .
UnitVector[Segment]: Yields the direction vector of the given segment, with length 1

In CAS View only one syntax is allowed:

UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector.; Example: UnitVector[{a,b}] returns {\frac{a}{\sqrt{a²+b²}},\frac{b}{\sqrt{a²+b²}}}.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 {{command|vector-matrix}}
+; UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector.
+: {{Example|1=<code>UnitVector[{2, 4, 4}]</code> returns ''{<math>\frac{1}{3}</math>, <math>\frac{2}{3}</math>, <math>\frac{2}{3}</math>}''.}}
 ; UnitVector[Line]: Yields the direction vector of the given line, with length 1 .
-; UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector.
 ; UnitVector[Segment]: Yields the direction vector of the given segment, with length 1
 ==CAS Specific Syntax==
 In [[CAS View]] only one syntax is allowed:
 ; UnitVector[Vector]: Yields a vector with length 1, which has the same direction and orientation as the given vector.
+: {{Example|1=<code>UnitVector[{a,b}]</code> returns ''{<math>\frac{a}{\sqrt{a²+b²&#125;}</math>,<math>\frac{b}{\sqrt{a²+b²&#125;}</math>}''.}}
-: {{Example|1=&nbsp;
-:* <code>UnitVector[{2, 4, 4}]</code> returns ''{1/3, 2/3, 2/3}''.}}