Find the shortest distance between the given lines.

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 lines :

The shortest distance between the skew lines and

is given by,

Answer :

Given lines,

Above equations can be written as

Here,

Therefore,

Now,

= 6 + 0 + 9

= 15

Therefore, the shortest distance between the given lines is