Prove that the points (x1, y1), (x2, y2), and (x3, y3) in
Chapter 8, Problem 8.31(choose chapter or problem)
Prove that the points (x1, y1), (x2, y2), and (x3, y3) in the plane are collinear (lie on a line) if and only if 1 x1 y1 1 x2 y2 1 x3 y3 = 0. Hint: This determinant is zero exactly when one row or column is a linear combination of the others.
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