Consider three points A,B,C with coordinates (2,2,3) (1,1,0) and (1,0,1) respectively. Find a vector equation of the line through point A that is perpendicular to the plane that passes through all three points A,B,C. [Hint: Use point-normal equation]
I am completely lost; the point normal equation bit throws me off the most.
Point normal equation: A(x-x0) + B(y-y0) + C(z-z0) = 0