Book: Mathematics Part-II
Chapter: 11. Three Dimensional Geometry
Subject: Maths - Class 12th
Q. No. 14 of Exercise 11.2
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14
Find the shortest distance between the lines
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, d 
[From (iv) and (v)]
⇒ 
Rationalizing the fraction by multiplying the numerator and denominator by √2,
⇒ 
14
