Find the shortest distance between the lines L 1 and L 2 whose vector equations are and HINT: The given lines are parallel.

Question

Philoid · Accepted 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