Active and passive transformation: Difference between revisions

→‎Passive transformation: ce: i.e. → that is
(Corrected wrong conclusion saying that new coordinates are different in the two kinds of transformations.)
m (→‎Passive transformation: ce: i.e. → that is)
=== Passive transformation ===
On the other hand, when one views <math>T</math> as a passive transformation, the initial vector <math>\mathbf{v}=(v_x,v_y,v_z)</math> is left unchanged, while the coordinate system and its basis vectors are transformed in the opposite direction, i.e.that is, with the inverse transformation <math>T^{-1}</math>.
<ref name=Amidror>
{{cite book |isbn=1-4020-5457-2 |year=2007 |publisher=Springer |title=The theory of the Moiré phenomenon: Aperiodic layers |first=Isaac|last=Amidror