Q17 of 76 Page 477

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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