Find the ratio in which the point R(5, 4, -6) divides the join of P(3, 2, -4) and Q(9, 8, -10).

Question

Philoid · Accepted Answer

Let the ratio be k:1 in which point R divides point P and point Q.

Using , we get,

Here m and n are k and 1. The point which this formula gives is already given, i.e. R(5,4,-6) and the joining points are P(3, 2, -4) and Q(9, 8, -10).

Taking any point and finding the value of k, we get

5k + 5 = 9k + 3

4k = 2

Therefore, the ratio be 1:2.