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(5,9,-14) and the joining points are P(2, -3, 4) and Q(3, 1, -2).

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

5k + 5 = 3k + 2

2k = -3

Since, the ratio is -3:2. hence the division is external division.

The external division ratio is 3:2.