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Straight lines in 3D

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The shortest distance between the lines x23=y34=z45 ;x12=y23=z34is


a¯1=(2,3,4)a¯2=(1,2,3)b¯1=(3,4,5),  b¯2=(2,3,4)a¯1a¯2    b¯1    b¯2=0

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The equation of line of shortest  distance between the lines x31=y52=z71;x+17=y+16=z+11   is

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