Q. 133.5( 2 Votes )

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


HINT: The given lines are parallel.

Answer :

Given equations :

To Find : d

Formula :

1. Cross Product :

If are two vectors


2. Dot Product :

If are two vectors


3. Shortest distance between two parallel lines :

The shortest distance between the parallel lines and

is given by,

Answer :

For given lines,


As , given lines are parallel to each other.


= 7

Therefore, the shortest distance between the given lines is

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