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17

Find the shortest distance between the lines whose vector equations are

Firstly, consider

⇒

⇒

⇒

⇒

⇒

⇒

So, we need to find the shortest distance between and .

Now, We know that

Shortest distance between two lines and is

…(i)

Here, and

⇒

Now,

…(ii)

Now,

⇒

……….(iii)

……….(iv)

Now,

……….(v)

Now, using (i), we have

The shortest distance between the two lines,

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