Task 486
Task 486: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Find the equation of the plane containing the points $(0,-1,-1),$ $(-4,4,4),$ and $(4,5,1).$ Enter your answer in the form \ Ax + By + Cz + D = 0,\ where $A,$ $B,$ $C,$ $D$ are integers such that $A 0$ and…
The task
Find the equation of the plane containing the points $(0,-1,-1),$ $(-4,4,4),$ and $(4,5,1).$ Enter your answer in the form \[Ax + By + Cz + D = 0,\]where $A,$ $B,$ $C,$ $D$ are integers such that $A > 0$ and $\gcd(|A|,|B|,|C|,|D|) = 1.$