Active and passive transformation: Difference between revisions
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[[File:PassiveActive.JPGthumb310pxIn the active transformation (left), a point moves from position P to P' by rotating clockwise by an angle θ about the origin of the coordinate system. In the passive transformation (right), point P does not move, while the coordinate system rotates counterclockwise by an angle θ about its origin. The coordinates of P' in the active case (i.e. relative to the original coordinate system) are the same as the coordinates of P relative to the rotated coordinate system.]]
In [[physics]] and [[engineering]], an '''active transformation''', or '''alibi transformation''', is a [[Transformation (mathematics)transformation]] which actually changes the physical position of a point, or [[rigid body]], and makes sense even in the absence of a [[coordinate system]] whereas a '''passive transformation''', or '''alias transformation''', is a change in the position of the coordinate system from which the object is observed ([[change of basis]]). By default, by ''transformation'', [[mathematician]]s usually mean active transformations, while [[physicist]]s and [[engineer]]s could mean either.▼
▲In [[physics]] and [[engineering]], an '''active transformation''', or '''alibi transformation''', is a [[Transformation (mathematics)transformation]] which actually changes the physical position of a point, or [[rigid body]],
Put differently, a ''passive'' transformation refers to observation of the ''same'' event from two different coordinate systems.<ref name= Davidson>▼
▲Put differently, a ''passive'' transformation refers to
{{cite book title=Robots and screw theory: applications of kinematics and statics to robotics
author=Joseph K. Davidson, Kenneth Henderson Hunt
isbn=0198562454 year=2004 publisher=Oxford University Press}}
</ref>
On the other hand, the ''active transformation'' is a
== Example ==
