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

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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.