In R^3, consider the three points A(2, -1, 4), B(3, 4, -2) and C(-1, 2, 7). (a) By an appropriate calculation on the vectors, show that the point C does not lie on the line connecting the points A and B. (b) Calculate the area of the triangle formed by A, B and C. (c) Calculate the distance between point C and the line connecting points A and B

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