Question
Show that the three points A (1, –2, –8) , B (5. 0. –2) and C (11, 3. 7) are collinear and find the ratio in which B divides AC.
Solution
Given points are A (1, –2, –8), B (5, 0, –2), C (11, 3, 7).
Let O be origin.
But A is their common point.
∴ points A. B. C are collinear and B divides AC in the ratio 2 : 3.
∴ points A. B. C are collinear and B divides AC in the ratio 2 : 3.