Task 1472
Task 1472: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The foot of the perpendicular from the origin to a plane is $(12,-4,3).$ Find the equation of the plane. Enter your answer in the form \ Ax + By + Cz + D = 0,\ where $A,$ $B,$ $C,$ $D$ are integers…
The task
The foot of the perpendicular from the origin to a plane is $(12,-4,3).$ Find the equation of the plane. Enter your answer in the form \[Ax + By + Cz + D = 0,\]where $A,$ $B,$ $C,$ $D$ are integers such that $A > 0$ and $\gcd(|A|,|B|,|C|,|D|) = 1.$