I think my coordinate geometry skills have turned rather rusty. Just help me out with this problem. Find the symmetric and parametric equation of a line passing through (3, 4, -1) and parallel to 2i - 3j + 6k. Here is my attempt at this: Since the line passes through (3,4,-1) the equation would be given by: (x - 3) + (y - 4) + (z +1) = 0 But, this looks like the equation of a plane . I am all confused now. How do I relate this line to the vector parallel to it?