If the straight line L: (x-a)/m = (y-b)/n = (z-c)/p is known, then the point P(x0, y0, z0) is known.
Then: the plane equation of the intersection point P perpendicular to the known straight line L in space is
m(x-x0)+n(y-y0)+p(z-z0) = 0
Definition:
Equations are divided into equations with unknowns and equations without unknowns.
For example:
X+1= 3-an equation with unknowns;
2+1= 3-an equation without unknowns.
It should be noted that some equations with unknowns have no solutions, but they still have no solutions, such as x+1= x-x.