(2)Find a vector equation and parametric equations for the line. The line through the point (1,0,6) and perpendicular to the plane x + 3y + z = 5.
(3)Find parametric equations and symmetric equations for the line. The line through (1, -1, 1) and parallel to the line x + 2 = 1/2y = z - 3.
(4)
(a) Find symmetric equations for the line that passes through the point (0, 2, -1) and is parallel to the line with parametric equations x = 1 + 2t, y = 3t, z = 5 - 7t.
(b) Find the points in which the required line in part (a) intersects the coordinate planes.