Given: Point A(2, -3, 4) and B(3, 1, -2) divided by a point C(5, 9, -14)
Let the ratio be k:1 in which point C divides point A and point B.
We know below are the coordinates of a point which divides a line segment in ratio, k:1.
Using section formula, We have
Find the value of k:
Choosing first co-ordinate,
5 = (3k+2)/(k+1)
5k + 5 = 3k + 2
2k = -3
Or k = -3/2
Since, the ratio is -3:2, division is external. Therefore, external division ratio is 3:2.