(i) For what value of the parameter a, will the planes be perpendicular? ax+3y-4z 2, x-ay + 2 = 5 (ii) Find a vector parallel to the line of intersection of the planes x-y+2z=2, 3x-y+2z = 1. (iii) Find the plane through the origin parallel to (iv) Find the angle between the vectors z=4x-3y+8. v (1,-1,2), w = (1,3,0). (v) A plane has equation z=5x-2y+7. For what values of a is the vector (a,1,1) normal to the plane?