Conceptually, when would one use interpretation 2? To me, it's much less intuitive than manipulating the object itself and seems more like a math trick than something useful.
adityasingh7311
Interpretation 2 reminds me of relative motion as an analogy. For example if you are driving a car at 30mph and another car in an opposite lane is traveling 30mph in the reverse direction then you would perceive the other car to be going 60mph since in your relative perspective you are not moving.
But yeah I don't have a specific example of when is it useful to consider that the entire coordinate system relative to an object is being transformed rather than the object itself is being changed. Perhaps it is just a useful tool to have and you'll know when to use it if the situation arises.
Conceptually, when would one use interpretation 2? To me, it's much less intuitive than manipulating the object itself and seems more like a math trick than something useful.
Interpretation 2 reminds me of relative motion as an analogy. For example if you are driving a car at 30mph and another car in an opposite lane is traveling 30mph in the reverse direction then you would perceive the other car to be going 60mph since in your relative perspective you are not moving.
But yeah I don't have a specific example of when is it useful to consider that the entire coordinate system relative to an object is being transformed rather than the object itself is being changed. Perhaps it is just a useful tool to have and you'll know when to use it if the situation arises.