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Three points A (x1, y1), B (x2, y2) and C (x3, y3) are collinear only when \(\frac {1}{2}\) {x1 (y2 – y3 ) + x2 (y3 – y1 ) + x3 (y1 – y2 ) } = 0.

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Three points A (x<sub>1</sub>, y<sub>1</sub>), B (x<sub>2</sub>, y<sub>2</sub>) and C (x<sub>3</sub>, y<sub>3</sub>) are collinear only when \(\frac {1}{2}\) {x<sub>1</sub> (y<sub>2</sub> – y<sub>3</sub> ) + x<sub>2</sub> (y<sub>3</sub> – y<sub>1</sub> ) + x<sub>3</sub> (y<sub>1</sub> – y<sub>2</sub> ) } = 0.






 
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