Problem:
Find the distance from the point ${-\frac{3}{2}, \frac{1}{2}, -\frac{5}{2}}$ to the plane $2 x+y-\frac{5 z}{2}-5=0$.
Answer:
$\frac{\sqrt{5}}{6}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/point_to_plane_distance/33698.txt'}