Finding the Shortest Distance between Skew Lines

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ok so it seems to be consistent so there is only one lunit vectorl which is perpendicular to both lines and therefore the shortest distance must be in this direction i believe that this can be understood by taking all vectors to the origin and then raising one direction vector away from the other you will see that the shortest distance is along the cross product vector in a way its raising the point of intersection and then meaduring the distance
 
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