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The line segment with endpoints P(1,2) and Q(3,6) is the hypotenuse of a right triangle....

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The line segment with endpoints P(1,2) and Q(3,6) is the hypotenuse of a right triangle. The third vertex, R, lies on the line with Cartesian equation -x+2y-1=0.a. Determine the coordinates of R.b. Using vectors, show that ?PQR is a right triangle.

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