Find both the parametric and the vector equations of the line through (4,5,1) that is perpendicular to the lines x=4 4t, y=9+4t,z=9-5tand x= -4t,y=9+t, z=9 -1, where t =0 corresponds to the given point. The vector equation is (x,y,z) = I [) + I:I 1(1,16,12). t(-1,11,12). t(-2,0,16). t(5,- 1,0). Find both the parametric and the vector equations of the line through (- 3,1,3) that is perpendicular to both i + j 3k and the x-axis, where t =0 corresponds to the given point. o= 5.43 Ine vector equation is (x,y,z) = (l =31}, (-3,0,-1). (-3, -1,0). (-1,0,-3). 1(0,-3,- 1). Find the equation for the plane passing through the origin and containing the line x =t - 1, y = 2t, z = 3t+ 1. . . . The equation of the plane is 2x - 2y + 2z =0 this is incorrect. (Type an equation.)