Problem:
Find the plane defined by the following points:
${\{-1,-1,-4\}, \left\{-3,4,-\frac{7}{2}\right\}, \left\{-1,-\frac{7}{2},-2\right\}}$.
Answer:
$45 x+16 y+20 z+141=0$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/convert_points_to_plane/7446.txt'}