UnitPerpendicularVector Command

UnitPerpendicularVector( <Line>): Returns the perpendicular vector with length 1 of the given line.

UnitPerpendicularVector(3x + 4y = 5) yields $\begin{pmatrix}0.6\\0.8\end{pmatrix}$ .

UnitPerpendicularVector( <Segment> ): Returns the perpendicular vector with length 1 of the given segment.

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

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

UnitPerpendicularVector( <Vector> ): Returns the perpendicular vector with length 1 of the given vector. The vector must be defined first.

Let v= $\begin{pmatrix}3\\4\end{pmatrix}$ . UnitPerpendicularVector(v) yields $\begin{pmatrix}-0.8\\0.6\end{pmatrix}$ .

CAS Syntax

In the CAS View vectors with undefined variables are also valid input.

UnitPerpendicularVector((a, b)) yields ( $\frac{-b}{\sqrt{a^2 + b^2}}$ , $\frac{a}{\sqrt{a^2+ b^2}}$ ).

UnitPerpendicularVector( <Plane> ): Creates a unit vector orthogonal to the plane.