Find the shortest distance between the given lines.



Given equations :




To Find : d


Formula :


1. Cross Product :


If are two vectors




then,



2. Dot Product :


If are two vectors




then,



3. Shortest distance between two lines :


The shortest distance between the skew lines and


is given by,



Answer :


Given lines,




Above equations can be written as




Here,






Therefore,











Now,




= 6 + 0 + 9


= 15


Therefore, the shortest distance between the given lines is







1