Find parametric equations for the line through the point that is perpendicular to the given line, and intersects this line. We are given the point (0, 2, 2) and the line x = 1 + t, y = 2 - t, z = 2t. We are also given one of the parametric equations, that being x=3s. I am looking for the y and z parametric equations. I figured that the equation for the first line is = (1, 2, 0) + t(1, -1, 2) and the equation for the second line is (0,2,2) + s(3,b,c). Beyond that, I have no idea what to do.