How to change of basis from 3 points in 2D

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Let R and S be two 2D coordinate systems.

I know the coordinate of 3 non-aligned points A,B,C in both systems.



How can I find the coordinate of O,P (or any other point from S) in R?



desc



Sorry for the poor wording, I'm not familiar with mathematical stuff.



Thanks!







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  • If you don't give some definite relation between the points I'm afraid the question cannot be solved...
    – DonAntonio
    Aug 22 at 11:13










  • What kind of relation is required? A,B,C are arbitrary points. I just know theirs coordinates. From the above picture: B could be (2.5, 3.3) in base S and (2.2, 2.3) in base R. Is A,B and C enough to compute point O? (0,0) in S and (Xr,Xy) in R
    – tpol
    Aug 22 at 13:29















up vote
0
down vote

favorite












Let R and S be two 2D coordinate systems.

I know the coordinate of 3 non-aligned points A,B,C in both systems.



How can I find the coordinate of O,P (or any other point from S) in R?



desc



Sorry for the poor wording, I'm not familiar with mathematical stuff.



Thanks!







share|cite|improve this question




















  • If you don't give some definite relation between the points I'm afraid the question cannot be solved...
    – DonAntonio
    Aug 22 at 11:13










  • What kind of relation is required? A,B,C are arbitrary points. I just know theirs coordinates. From the above picture: B could be (2.5, 3.3) in base S and (2.2, 2.3) in base R. Is A,B and C enough to compute point O? (0,0) in S and (Xr,Xy) in R
    – tpol
    Aug 22 at 13:29













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Let R and S be two 2D coordinate systems.

I know the coordinate of 3 non-aligned points A,B,C in both systems.



How can I find the coordinate of O,P (or any other point from S) in R?



desc



Sorry for the poor wording, I'm not familiar with mathematical stuff.



Thanks!







share|cite|improve this question












Let R and S be two 2D coordinate systems.

I know the coordinate of 3 non-aligned points A,B,C in both systems.



How can I find the coordinate of O,P (or any other point from S) in R?



desc



Sorry for the poor wording, I'm not familiar with mathematical stuff.



Thanks!









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 22 at 11:08









tpol

101




101











  • If you don't give some definite relation between the points I'm afraid the question cannot be solved...
    – DonAntonio
    Aug 22 at 11:13










  • What kind of relation is required? A,B,C are arbitrary points. I just know theirs coordinates. From the above picture: B could be (2.5, 3.3) in base S and (2.2, 2.3) in base R. Is A,B and C enough to compute point O? (0,0) in S and (Xr,Xy) in R
    – tpol
    Aug 22 at 13:29

















  • If you don't give some definite relation between the points I'm afraid the question cannot be solved...
    – DonAntonio
    Aug 22 at 11:13










  • What kind of relation is required? A,B,C are arbitrary points. I just know theirs coordinates. From the above picture: B could be (2.5, 3.3) in base S and (2.2, 2.3) in base R. Is A,B and C enough to compute point O? (0,0) in S and (Xr,Xy) in R
    – tpol
    Aug 22 at 13:29
















If you don't give some definite relation between the points I'm afraid the question cannot be solved...
– DonAntonio
Aug 22 at 11:13




If you don't give some definite relation between the points I'm afraid the question cannot be solved...
– DonAntonio
Aug 22 at 11:13












What kind of relation is required? A,B,C are arbitrary points. I just know theirs coordinates. From the above picture: B could be (2.5, 3.3) in base S and (2.2, 2.3) in base R. Is A,B and C enough to compute point O? (0,0) in S and (Xr,Xy) in R
– tpol
Aug 22 at 13:29





What kind of relation is required? A,B,C are arbitrary points. I just know theirs coordinates. From the above picture: B could be (2.5, 3.3) in base S and (2.2, 2.3) in base R. Is A,B and C enough to compute point O? (0,0) in S and (Xr,Xy) in R
– tpol
Aug 22 at 13:29
















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