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Question

Find the shortest distance between the lines
x12=y23=z34 and x23=y44=z55

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Solution

The Directional ratios of first line is 2,3,4
The Directional ratios of second line is 3,4,5
Let the angle between them be θ
We have cosθ=2×3+3×4+4×52950=381450
Therefore θ00 , so the given lines are not parallel.
Since the lines intersect , the shortest distance between them will be zero

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