Using the result obtained in Problem 57, show that three distinct points (x 1 , y 1 ), (x 2 , y 2 ) and (x 3 , y 3 ) are collinear (lie on the same line) if and only if 1 1 1 2 2 1 3 0 1

Question: Using the result obtained in Problem 57, show that three distinct points (x 1 , y 1 ), (x 2 , y 2 ) and

Using the result obtained in Problem 57, show that three distinct points (x₁, y₁), (x₂ , y₂) and (x₃, y₃) are collinear (lie on the same line) if and only if

Х1 У1 1 Х2 У2 1 3 0 |Хз Уз 1

1 1 1 2 2 1 3 0 | 1

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