Example 5 - Show A (2, 3, -4), B (1, -2, 3), C (3, 8, -11) - Direction cosines and ratios

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  1. Chapter 11 Class 12 Three Dimensional Geometry
  2. Serial order wise
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Example, 5 Show that the points A (2, 3, 4), B (1, 2, 3) and C (3, 8, 11) are collinear. Three points A, B, C are collinear if direction ratios of AB and BC are proportional. Now, 2 1 = 2 1 = 2 2 1 = 10 5 = 2 2 1 = 14 7 = 2 Since, = = = 2 Therefore, A, B and C are collinear.

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