Active and passive transformation: Difference between revisions

m
clean up and regexp typo fixing, typo(s) fixed: ie. → i.e. using AWB
(Figure caption edited for clarity and completeness.)
m (clean up and regexp typo fixing, typo(s) fixed: ie. → i.e. using AWB)
{{For|the concept of "passive transformation" in grammar|active voice|passive voice}}
 
[[File:PassiveActive.JPG|thumb|310px|In 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 (iei.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.