I have no idea what initial point to use for planes since I'm not familiar with plotting graphs of $(x,y,z)$.
My points are
- $P_1 = (0,1,0)$
- $P_2 = (4/3, 0, 0)$
- $P_3 = (0, 0, -2)$
I calculated the positions vector which I got
- $P_1P_2 = (\frac43, -1, 0)$
- $P_1P_3 = (0, -1, -2)$
My vector equation then was $[x,y,z] = [0, 1, 0] + [4/3, -1, 0]s + [0, -1, -2]r$
and then I just read off this to get the parametric equations
$$x = 4s/3,y = 1-s-r,z = -2\cdot r$$
How can I determine the initial point for planes?