These are just a few questions that a don't understand and any help would be great. 1. Prove that the line (x-3)/2 = (y-4)/3 = (z-5)/4 is parallel to the plat 4x + 4y - 5z = 14 2. Find the equation of the line through (1,0,-2) and perpendicular to the plane 3x - 4y + z -6 = 0 I'm assuming you need to find the normal of the plane, but I'm not sure how to do that. 3. This is the 2nd part of a question: Find the cosine of the angle between the directions of the line in (a) and the line (x+2)/2 = y/3 = (z-1)/3 The line in (a) is (x-1)i + (y-1)j + (z-2)k = t (3i + j + k), which becomes the cartesian equation: (x-1)/3 = (y-1)/1 = (z-2)/1 4. Find the vector and cartesian equations of a plane containing the line (x-4)/-2 = (y+3)/1 = (z-1)/3 I know all the basic things in vectors, but these are a few questions I just want to clear up due to my upcoming exam. Any help would be greatly appreciated.