Q. 1

Find the shortest distance between the given lines.





Answer :

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,










Now,




= 3 + 0 + 7


= 10


Therefore, the shortest distance between the given lines is




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