If (x, y) and (X, Y) be the coordinates ...

If (x, y) and (X, Y) be the coordinates of the same point referred to two sets of rectangular axes with the same origin and if ux + vy , when u and v are independent of X and Y become VX + UY, show that `u^(2)+v^(2)=U^(2)+V^(2)`.

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If (x, y) and (X, Y) be the coordinates of the same point referred to two sets of rectangular axes with the same origin and if ux + vy , when u and v are independent of X and Y become VX + UY, show that `u^(2)+v^(2)=U^(2)+V^(2)`.

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