Use MAILAB to show that the angle inscribed in a semi-circle is a right angle. Use the following steps in a script file to calculate the angle. Define a variable with the value of the x coordinate of point A. Determine the y coordinate of point A using the equation x2 + y2 = R2. Define vectors that correspond to the position of points A, B, and C and use them for determining position vectors rAB and rAC. Calculate the angle α in two ways. First by using the equation α = cos-1(rAB.rAC/rAB.rAC), and then by using the equation α = sin-1(|rAB × rAC|/rAB || rAC). Both should give 90°.

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