I have to find the Equation of a plane $A$
Data I do have : Two points on that plane $A$, Equations of two planes, whose line of intersection is parallel to plane $A$
I found a vector $v_1$ with the two points on the plane $A$ (So that vector lies on the plane $A$).
From two given planes, I calculated their cross product. It gives the vector $v_2$, which is the line of intersection.
Now I know the vector $v_1$ is parallel to the $v_2$. So, the normal of vector $v_1$ is parallel to normal of vector $v_2$.
With all these information how can I find the equation of plane $A$ ?