R help - Sep 2011 - Pearson correlation of sum of variables

Dear all,

this is more a math-related question, but probably can help me nevertheless:

Assume I have two random variables: A and B.
Furthermore assume that I know the Pearson Correlation Coefficient between A
and B: cor(A,B)

I now define C = 1-(A+B).
Is there some way to determine cor(C,A) and cor(C,B)?
Or, to put it differently, what is cor(1-A-B)?

I know that the Pearson Correlation Coefficient is not additive, but
probably there is still some way to solve that.

Thanks very much in advance,

Michael

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