1. Determine a vector equation for the plane that is parallel to thexy-plane and passes through the point(4, 1, 3).
2. Determine the symmetric equations for the line throughP(5, 6, 10)and parallel to the line with equation= (6, 1, 1)+ t(2, 1, 3).
3. Determine a scalar equation for the plane through the pointsM(1, 2, 3)andN(3 ,2, -1)that is perpendicular to the plane with equation3x + 2y + 6z + 1 = 0.