Suppose that AB is the diameter of a circle with center O and that C is a point on one of the two arcs joining A and B. Show that CAand CBare orthogonal. Circle centered at O passes through the points A, B and C. Points A, O and B are along the horizontal diameter of the circle. The point C is up and to the left of center. Three vectors extend from point O. The vector u terminates at point B. The vector negative u terminates at point A. The vector v terminates at point C. Choose the correct steps below for showing that CA and CB are orthogonal.

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