Find the coordinates of the foot of the perpendicular drawn from the point $(0, 2, 3)$ onto the spatial line given by:
\[
\frac{-x-3}{-5} = \frac{1-y}{-2} = \frac{3z+12}{9}
\]
And hence, find the exact geometric length of this perpendicular line segment.
Show Hint
Always convert the line equation into standard form before identifying direction ratios. A common trap is using the original denominators like $-5, -2, 9$, which will lead to an incorrect value for $\lambda$.