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Q3} For three points on the plane [xL yl}, [1:2, 9'2} and [3:3, 33] show that the determinant of 11 3'1 1 k2 3'2 1]

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Q3} For three points on the plane [xL yl}, [1:2, 9'2} and [3:3, 33] show that the determinant of 11 3'1 1 k2 3'2 1] 3 3'3 1 is proportional to the area of the triangle whose corners are the three points. If these points lie on a straight line, what is the value of the determinant? Does this give a useful test to tell whether three points lie on a line? Why do you think so

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