Difference between revisions of "UnitVector Command"

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;UnitVector[ <Vector> ]
 
;UnitVector[ <Vector> ]

Revision as of 21:32, 9 March 2013



UnitVector[ <Vector> ]
Yields a vector with length 1, which has the same direction and orientation as the given vector. The vector must be defined first.
Example:
Let v=\begin{pmatrix}3\\4\end{pmatrix}. UnitVector[v] yields \begin{pmatrix}0.6\\0.8\end{pmatrix}.
UnitVector[ <Line> ]
Yields the direction vector of the given line, with length 1 .
Example:
UnitVector[3x + 4y = 5] yields \begin{pmatrix}0.8\\-0.6\end{pmatrix}.
UnitVector[ <Segment> ]
Yields the direction vector of the given segment, with length 1.

CAS Syntax

UnitVector[ <Vector> ]
Yields a vector with length 1, which has the same direction and orientation as the given vector.
Example:
UnitVector[(a, b)] yields {\frac{a}{\sqrt{a^{2} + b^{2}}}, \frac{b}{\sqrt{a^{2} + b^{2}}}}.
Example:
UnitVector[(2, 4, 4)] yields {\frac{1}{3}, \frac{2}{3}, \frac{2}{3}}.
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