Given that `P(3,2,-4),\ Q(5,4,-6)a n d\ R(9,8,-10)` are collinear. Find the ratio in which `Q` divides `P Rdot`

Explanation

Let point` Q (5, 4, –6)` divide the line segment joining points `P (3, 2, –4) `and` R (9, 8, – 10)` in the ratio `k:1. `


Therefore, by section formula we get,


`(5,4,-6)=((k(9)+3)/(k+1), (k(8)+2)/(k+1), (k(-10)-4)/(k+1))`


Comparing we get,


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