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Find the shortest distance between the lines `vec r = hat i + 2 hat j + 3 hat k ) lambda (hat i- 3 hat j + 2 hat k)` and `vec r = ( 4 hat i + 5 hat j + 6 hat k ) + mu ( 2 hat i + 3 hat j + hat k )`

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Find the shortest distance between the lines vec r = (hat i + 2 hat j + hat k) + lambda (hat i - hat j + hat k) and vec r = ( 2 hat i - hat j - hat k) + mu ( 2 hat i + hat J + 2 hat k)

Find the shortest distance between the lines vec r = 2 hat i + 3 hat j + hat k + lambda (2 hat i - hat j + 3 hat k ) and vec r = 7 hat i + 5 hat j + 6 hat k + mu ( hat i + 3 hat j + 5 hat k )

Find the shortest distance between the lines vec r = 5 hat i + 3 hat j + 2 hat k + lambda (2 hat i + hat j - hat k ) and vec r = 3 hat i - hat j - 2 hat k + mu ( hat i + hat j + 2 hat k )

Find the shortest distance between the lines vec r = 6 hat i + 2 hat j + 2 hat k) lambda (hat i - 2 hat j + 2 hat k ) and vec r = - 4 hat i - hat k + mu (3 hat i - 2 hat j - 2 hat k)

Find the shortest distance between the lines vec , = 2 hat i + 3 hat J + 4 hat k + lambda ( 2 hat i - hat J + hat k) and vec r = 3 hat i - 2 hat j- hat k + mu (3 hat i + 2 hat j- 4 hat k).

Find the shortest distance between the lines given by the equations vec r= hat i + 2 hat j - 3 hat k + lambda (3 hat I - 4 hat j - hat k) , vec r= 2 hat i - hat j + hat k + mu (hat i - hat j -5 hat k) .

Find the shortest distance (S.D.) between the lines : vec r = hat i + hat j + lambda (2 hat i- hat j + hat k) and vec r = 2 hat i + hat j- hat k + mu (3 hat i - 5 hat j + 2 hat k) .

Find the shortest distance between the lines given by the equations vec r= (hat i - 2 hat j + 3 hat k) + lambda ( hat i +3 hat j + 4 hat k) , vec r= (2 hat i - hat j +5 hat k) + mu (3 hat i + 4 hat j - hat k) .

Find the shortest distance between the lines given by the equations vec r= (hat i - hat j + 2 hat k + lambda (2 hat i + hat j + 4 hat k) , vec r= (2 hat i - 4 hat j + hat k) + mu (3 hat i + hat j - 5 hat k) .

Find the shortest distance between the lines given by the equations vec r= (hat i + 2 hat j + 3 hat k + lambda (2 hat i + 3 hat j + 4 hat k) , vec r= (2 hat i - 4 hat j + 5 hat k + mu (3 hat i - 4 hat j + 5 hat k) .

OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
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  18. Find the shortest distance between the lines vec r = hat i + 2 hat j +...

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