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4. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.
Answers (1)
We have the points, A (2, 3, 4),B (– 1, – 2, 1),C (5, 8, 7);
And as we can find the direction ratios of the line joining the points is given by
The direction ratios of AB are i.e.,
The direction ratios of BC are i.e.,
.
We can see that the direction ratios of AB and BC are proportional to each other and is -2 times.
AB is parallel to BC. and as point B is common to both AB and BC,
Hence the points A, B and C are collinear.
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