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April 3rd, 2019, 01:50 AM   #1
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Question Find the orgin of a coordinate system relative to another?


I have a point in 2D space, p that I have 2 sets of coordinates for; one set in the Q coordinate system, (qx, qy) and the other in the U coordinate system, (ux, uy).

I would like to be able to calculate the Q coordinates of U(0, 0)?

I know that I need transformation matrix, but am struggling with what that looks like & how I arrive at such a thing. Any pointers much appreciated.


EDIT: I should add that the unit basis vectors for each coordinate system are not equal to each other ie eux =/= eqx

Last edited by skipjack; April 3rd, 2019 at 08:27 AM. Reason: typos
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April 3rd, 2019, 08:38 AM   #2
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In the Q system, you know how far from P the origin in the U system is, so that origin lies somewhere on a known circle. You need further information in order to find the specific point on that circle.

Also, your information about the unit base vectors needs clarification. If they are unit vectors, their lengths must be 1 by definition.
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