Given two vectors $A$ and $B$ with $|\theta_A-\theta_B|=\frac{\pi}{2}$ and $r_a$ and $r_b$ are any real numbers, can every possible vector be represented by $A+B$ with some constant $r_a$ and $r_b$?

In other words, can a coordinate plane of axis $x$ and $y$ with, unlike normal coordinate planes, non-perpendicular axis represent any point in the plane with two real coordinates?


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