1. Write down the equation for the line in 3D through the point a=(1,2,4), parallel to the line r=(1,-5,0)+λ(1,2,2). Then, find the distance between these lines. 2. 3. Lets say, b= (1,2,2). b is parallel to given line, so it must also be parallel to the new line. My guess is that the equation of the new line is then; c=(1,2,4)+λ(1,2,2). I don't know how to approach the rest of the problem, this is a new topic for me, however this is revision for many students in my class so my teacher did not explain this thoroughly, i would greatly appreciate any hints for this problem, and/or any useful webpages that would help me here. Thanks in advance.