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Show that the points A (2, 3, 4), B (3, ...

Show that the points A (2, 3, 4), B (3, 4, 6) and C (5, 6, 16) are collinear.

Text Solution

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Direction cosines of AB
`1/sqrt(102), (1)/sqrt(102), 10/sqrt(102)`
Direction cosines of BC
`2/sqrt(408), (2)/sqrt(408), 20/sqrt(408)`
Direction cosines of AB and BC are proportional.
Note : Direction ratios of AB and BC are proportional.
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