1. Find a vector equation and parametric equations for the line through the point (2, 0, 4) and parallel to vector = 2, 4, 2
2. Find a vector equation and parametric equations for the line through the point (-3, 0, 7) and perpendicular to the plane 5x + 2y - z = 1.
3. Find an equation of the plane through the point (1, 0, 2) and perpendicular to the line x = 5t, , y = 8 - t, z = 2+6t.
4. i) Determine whether the planes are parallel, perpendicular, or neither if the planes equations are the following: 4x 2y + 6z = 0, 6x 3y + 9z = 3. ii) Find the distance between the planes.