Cartesian Equation of Plane

You must first be able to get the Normal Line to the plane. To do this normal vector, get the cross product of the 2 direction vectors of the plane. Once you get the normal line $\vec{n}=[a,b,c]$ The formula for the cartesian plane is $ax+bx+cz+d=0$ where $a,b,c$ can be gotten from the normal line. To get $d$, sub in the position vector’s components as the $x,y,z$ values into the cartesian equation.