Exercise 13

Line of minimum distance between two skew lines

Theory used: Common perpendicular to two skew lines Distance between two skew lines Two methods for the line of minimum distance

Given the skew lines $r : x = 1 + t$ , $y = 2 + t$ , $z = 1$ and $s : x = 1 + u$ , $y = - 1$ , $z = - 2 + u$ , find the distance between the lines and the equations of the line of minimum distance.

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