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** Q 1840623513. ** Two systems of rectangular axis have the same origin, If a plane cuts them at distance `a, b, c` and `a', b', c'`, respectively from the origin, then prove that `1/a^2 + 1/b^2 + 1/c^2 = 1/(a'^2) + 1/(b'^2) + 1/(c'^2)`.