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.

Question

$\begin{array}{1 1} \big(-\large\frac{4}{5},\frac{1}{5},\frac{27}{5}\big) \\ (-8,17,3) \\ \big(\large\frac{8}{5},\frac{17}{5},\frac{27}{5}\big) \\\big(-\large\frac{8}{5},\frac{1}{5},\frac{27}{5}\big)\end{array} $