# Distance between a point and a line in space with unknown line equation

We have $$A(-2,3,1)$$ and we have to find the distance from $$A$$ to line which contains point $$P(-3,5,2)$$ and this line makes equal points with coordinate axis. I know how to solve this, I need the equation of that line, and for that I need a point, which is $$P$$ and a paralel vector to that line, but I don't know how to find that vector.

• This is a 3D problem. A line doesn't have an equation. – user376343 Apr 13 at 8:04
• What does "makes equal points with coordinate axis" mean? – Aretino Apr 13 at 10:43