# PerpendicularVector Command

(Redirected from OrthogonalVector Command)

##### Command Categories (All commands)

PerpendicularVector( <Line> )
Returns the perpendicular vector of the line.
Example:
Let Line((1, 4), (5, -3)) be the line j. PerpendicularVector(j) yields the perpendicular vector u=(7, 4) of the line j.
Note: A line with equation ax + by = c has the perpendicular vector (a, b).
PerpendicularVector( <Segment> )
Returns the perpendicular vector of the segment with the same length.
Example:
Let Segment((3, 2), (14, 5)) be the segment k. PerpendicularVector(k) yields the perpendicular vector u=(-3, 11) of the segment k.
PerpendicularVector( <Vector> )
Returns the perpendicular vector of the given vector.
Example:
Let Vector((-12, 8)) be the vector u. PerpendicularVector(u) yields the perpendicular vector v=(-8, -12) of the vector u.
Note: In the CAS View undefined variables are allowed as well.
Example: PerpendicularVector((a, b)) yields the vector {-b, a}.
PerpendicularVector( <Plane> )
Creates a vector orthogonal to the plane.
Example:
PerpendicularVector(xOyPlane) yields the perpendicular vector u=(0, 0, 1) of the xOy plane.

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