Implicit Planes — How It Works II
f(x,y,z) = ax + by + cz - dthen we can obtain the coefficients from:
a = f(1,0,0) - f(0,0,0) b = f(0,1,0) - f(0,0,0) c = f(0,0,1) - f(0,0,0) d = -f(0,0,0)
Now check if f(x,y,z) actually does equal
ax + by + cz - dfor the determined coefficients, and if so, check that a, b, c and d are multiples of the professor's coefficients.