# Vectors and Coordinate planes with non-perpendicular axis

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?