UnitPerpendicularVector Command

UnitPerpendicularVector[ <Line>]

Returns the perpendicular vector with length 1 of the given line.

Example:

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.

Example:

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.

Example:

Let v=\begin{pmatrix}3\\4\end{pmatrix}. UnitPerpendicularVector[v] yields \begin{pmatrix}-0.8\\0.6\end{pmatrix}.

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

Example:

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

CAS Syntax

UnitPerpendicularVector[ <Plane> ]

Creates a unit vector orthogonal to the plane.

Note:

See also PerpendicularVector Command.