find a point on a plane

[fluid apex]

So what I did is to make a direction vector p1p2 and p2p3 and write two equations of planes

So I am left with y-x+D0=0 and 2x-y+z+D1=0

Now I have to turn these two equations into their parametric form

But D0and D1 and causing trouble

So my idea was to turn it into parametric form and it will allow me to find any point on the line and I could plug it into the equation of given plane and find points

[woven sky]

Hello! Mmm I don't understand what these planes are y-x+D0=0 and 2x-y+z+D1=0. I mean, why do you want them? 🤔

Do you think that point P is in that line?

I'm not sure about the geometric basis of that 🤔, it would help if you could please explain that