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Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/1 and (x-3)/1=(y-5)/(-2)=(z-7)/1

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Question

Find the shortest distance between the lines `(x+1)/7=(y+1)/(-6)=(z+1)/1 and (x-3)/1=(y-5)/(-2)=(z-7)/1`

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Solution

Shortest distance between the lines

shortest distance between the given lines=`|-116/sqrt(116)|`

=`sqrt116`

=`2sqrt29` units

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2015-2016 (July)

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