Show that the points $(1, 2, 3), (7, 0, 1)$ and $(- 2, 3, 4)$ are collinear.

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Solution

let $A (1, 2, 3), B (7, 0, 1), C (- 2, 3, 4)$
Drs of $A B = (6, - 2, - 2)$
Drs of $A C = (- 3, 1, 1)$
Drs of $A B = - 2 \times D r s$ of AC
Hence, ABC are collinear .

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