Let ABCD be a trapezoid with parallel sides AB and DC. Suppose that the length of AB is 20 centimeters and the length of DC is 35 centimeters. Let P be a point 2/5 up from A to D and similarly let Q be a point 2/5 up from B to C. Prove using a vector diagram and vector arithmetic that PQ is also parallel to AB and find its length. D C A В

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