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The shortest distance between the lines (x − 5)/1 = (y − 2)/2 = (z − 4)/(−3) and (x + 3)/1 = (y + 5)/4 = (z − 1)/(−5) is

1. 5√3
2. 6√3
3. 4√3
4. 7√3

Correct answer: 6√3

Solution

The shortest distance between two skew lines can be calculated using the formula that involves the cross product of their direction vectors and the vector connecting a point on each line. In this case, the calculations yield a distance of 6√3, confirming option B as the correct answer.

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