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Physics
Classical Physics
Mechanics
Are vectors independent of reference frames?
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[QUOTE="TonyEsposito, post: 6182737, member: 592393"] Ok, this is the notation I am going to use in this thread: uppercase means vectors, while "[V]c" means coordinates of vector V in frame c. I'm reading from a book: i have a reference frame "a" and a reference frame "b" rotated with respect to "a", the vector connecting the frames origin is R. We are tracking a particle having radius vector X in frame a and X' in frame b, the book says that the relation connecting the two vector is: X=R+Q.V' where Q is the rotation tensor of the two frames...but arent vectors indipendent of frames? should not the relation be simply: X=R+V' and only when expressed in a coordinates Q comes into play? [X]a=[R]a+Q.[V']b [X]b=[R]b+Q^-1.[V']a [/QUOTE]
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Forums
Physics
Classical Physics
Mechanics
Are vectors independent of reference frames?
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