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question 7 the shortest distance between them is 14 and I have also found the equation of the shortest distance but my method is too long so please a short method

question 7
 
 
 
the shortest distance between them is 14 and I have also found the equation of the shortest distance but my method is too long so please a short method 

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1 Answers

Arun
25763 Points
2 years ago
For skew lines
r = a1 + t b
r = a2 + s d
 
Where b and d vectors are direction ratios.
 
Hence
 
Shortest distance = (a1 - a2) . (b x d) / |(b x d)|
 
If youw ant equation then it is indeed a long method

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