Two events occur at positions and relative to an origin O in the plane

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two events occur at positions (x1,y1)(x_1,y_1) and (x2,y2)(x_2,y_2) relative to an origin O in the plane. A new origin O′ is chosen at (a,b)(a,b) with axes parallel to the original ones. Prove in not more than three lines that the displacement vector between the two events has the same components in both coordinate systems.

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