UnitVector Command

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

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}] 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}}.