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 :


For given lines,




Here,






Therefore,








= 3√2




Now,




= - 3 + 0 – 6


= - 9


Therefore, the shortest distance between the given lines is






1