The line segment joining A(-3, 2) and B(8,4) is the hypotenuse of a right triangle. The...

   

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The line segment joining A(-3, 2) and B(8,4) is the hypotenuse of a right triangle. The third vertex, C, lies on the line with the vector equation (x, y) = (-6, 6) +t(3,-4). a. Determine the coordinates of C. b. Illustrate with a diagram. C. Use vectors to show that LABC = 90°. The line segment joining A(-3, 2) and B(8,4) is the hypotenuse of a right triangle. The third vertex, C, lies on the line with the vector equation (x, y) = (-6, 6) +t(3,-4). a. Determine the coordinates of C. b. Illustrate with a diagram. C. Use vectors to show that LABC = 90°.