PerpendicularVector Command

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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 Menu view cas.svg 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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