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.

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.

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.

Let s = Segment((1,1),(4,5)).

UnitVector(s) yields $\begin{pmatrix}0.6\\0.8\end{pmatrix}$ .

Hint: In the CAS View three-dimensional vectors and vectors with undefined variables are also valid inputs.

UnitVector((a, b)) yields ( $\frac{a}{\sqrt{a^2 + b^2}}$ , $\frac{b}{\sqrt{a^2 + b^2}}$ ).
UnitVector((2, 4, 4)) yields ( $\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{3}$ ).