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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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To find the shortest distance between the two given skew lines, we can follow these steps: ### Step 1: Identify the lines and their direction ratios The lines are given in symmetric form: 1. Line 1: \(\frac{x + 1}{7} = \frac{y + 1}{-6} = \frac{z + 1}{1}\) 2. Line 2: \(\frac{x - 3}{1} = \frac{y - 5}{-2} = \frac{z - 7}{1}\) From the first line, we can extract: ...
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