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Magnitude
2D/3D

Magnitude[vector] returns the length of vector.
vector may be a simple vector or a Mech vector object with head
Vector, Line, or Plane (3D).
Magnitude is also an option for Force and Moment (3D). Magnitude->Relative causes the magnitude of the applied load to be multiplied by the length of the load vector.
Magnitude is also an option for Extrude (3D). Magnitude->Relative causes the extrusion distance to be multiplied by the length of the extrusion vector.
Magnitude->Absolute causes the magnitude of the applied load or the extrusion distance to be equal to the specified magnitude.

Magnitude[bnum, lpnt] is interpreted as Magnitude[Vector[bnum, lpnt]].
• Other Magnitude[args, ... ] instances are interpreted as Magnitude[Line[args]].
• The default setting is Magnitude->Absolute.
• See also:
Direction, Distance, Unit.

Further Examples

Load the Modeler2D package.

Direction returns the direction vector of any Mech geometry object that has the property of having a direction.

Magnitude returns the length of the direction vector of a Mech vector object, taking advantage of some simplifications.

Similarly, Unit takes advantage of the fact that the magnitude of the vector is not a function of the coordinate system that the vector is expressed in. If the vector is already expressed in global coordinates, then such simplifications are not possible.


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