# Shortest Distance between Two Skew Lines

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Select four points , , , in three dimensions to determine two lines (green) and (blue). For almost all choices of coordinates, the lines are *skew*: neither parallel nor intersecting. The goal is to find the shortest distance between the two lines. As a by-product, the shortest segment between the lines is shown in red.

Contributed by: S. M. Blinder (August 2022)

Open content licensed under CC BY-NC-SA

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