I know how to get the normal of a plane from any 3 points, how can I do the inverse?
Suppose any $3$ points on the plane: $p_1$, $p_2$ ,$p_3$
We can get the vectors: $v_1 = p_2-p_1$,$v_2 =p_3-p_1$
And the plane normal n as: $n = v_1\times v_2$? If I got only $n$ and $p_1$, how can I get ANY other $2$ points: $p_2$ and $p_3$ ou two vectors on plane?
Looking for some vector form so I can easily write in matlab.