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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 - CBSE (Commerce) Class 12 - Mathematics

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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`

Solution

The given lines are `(x+1)/7 = `(y+1)/(-6) = (z+1)/1` and (x-3)/1 = (y-5)/(-2) = (z-7)/1`

It is known that the shortest distance between the two lines, 

Since distance is always non-negative, the distance between the given lines is `2sqrt29` units.

 
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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 11: Three Dimensional Geometry
Q: 15 | Page no. 478
Solution 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 Concept: Shortest Distance Between Two Lines.
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