Mathematics Part-II

Book: Mathematics Part-II

Chapter: 11. Three Dimensional Geometry

Subject: Maths - Class 12th

Q. No. 17 of Exercise 11.2

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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,


17

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