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Prove that the points : (x_1,y_1),(x_2,y_2),(x_3,y_3) are collinear if [[x_1,y_1,1],[x_2,y_2,1],[x_3,y_3,1]]=0

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SOLUTION :From geometry, we know that, if the POINTS A,B,C, are collinear, then the area of the traingle ABC with vertices`(x_1,y_1),(x_2,y_2)` and `(x_3,y_3)` is zero .
`[[x_1,y_1,1],[x_2,y_2,1],[x_3,y_3,1]]`=0


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