Find the coordinates of the point which divides the line segment joining the points (- 2, 3, 5) and (1, - 4,6) in the ratio 2 : 3 externally.

Let the point C divides the line externally in the ratio 2:3.Here, the ratio is 2 :3.m=2,n=3The coordinates of point C=mx2−nx1m−n,my2−ny1m−n,mz2−nz1m−n⇒C=2×(1)−3×(−2)(2−3),2×(−4)−3×3(2−3),2×6−3×5(2−3)=2+6(−1),−8−9(−1),12−15(−1)=(−8,17,3)