Questions 1. Determine the parametric and symmetric equations of the line through P(3, 1, -8) which is parallel to the line with equation = (-2, 1, 3) + t(-2,-3,1). 2. Find the value of k so that the lines 3x + ky + z - 6 = 0 and 6x + (1-k)y + 2z - 9 = 0 are perpendicular. 3. Determine parametric equations for the plane through the points A(2, -1, 4), B(3, 1, 8), and C(7, -1, 3). 4. Determine a vector equation for the plane that is parallel to the z-axis containing the line r = (1, 2, -1) + t(3, -1, 2)