walang relation
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They're parallel.
The length of a line segment that starts at the point and is perpendicular to the original line.
The shortest path is a line perpendicular to the given line that passes through the given point.
The distance is 0.
At their point of crossing, the space between two crossnig line is 0. From any point on either line you can always drop a perpendicular to the other line and this will be the shortest distance from that point to the other line.