Q. 133.5( 2 Votes )

Find the shortest distance between the lines L1 and L2 whose vector equations are

and

HINT: The given lines are parallel.

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 parallel lines :


The shortest distance between the parallel lines and


is given by,



Answer :


For given lines,




Here,






As , given lines are parallel to each other.


Therefore,






= 7










Therefore, the shortest distance between the given lines is





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