5. Determine a scalar equation of the plane through the point {4. l] 1] and parallel to the plane r= {2. 1 4] + all t), 3) + t[3: 2, 5}. 5. Determine a 1.rector equation ofthe plane that contains the origin and the point (2, -3: 2} and is perpendicular to the plane x + 23; -z + 3 =0. 7. Find the intersection, if any, of the line (x,y,z) = (2, 1, 4) + t (1,0,1) and the plane 3x - 4y - 3z - 9 = 0. 8. Solve the following system of equations and give a geometrical interpretation of the result. xty+z=1 x + 2y + 3z = 3 x + 4y + 6z = 59. Give a geometrical interpretation of the intersection of the planes with equations xty+z+3=0 2x + 3y - 6z - 1 = 0 4x + 6y -12z + 11 = 0 10. Determine a scalar equation for the plane that passes through the point (1, 1, 4) and is perpendicular to the line of intersection of the planes x + 2y + z = 1 and 2x + y + 3z = 3.11. A line has the equation r = s(1,0,0) and a plane has the equation y=1. a) Describe the line. b) Describe the plane