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A particle in R^2 travels along a circle centered at (x, y) with radius r >...

A particle in R^2 travels along a circle centered at (x, y) with radius r > 0. Parametrize this circular path r(t) as a function of the parameter variable t. Please prove that at all t values, the tangent vector r'(t) is orthogonal to the vector r(t) - vector(x, y)

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