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Question

Mathematics Question on Shortest Distance between Two Lines

The shortest distance between the lines x+31=y22=z+43  and  x+33=y+72=z64\frac{x + 3}{1} = \frac{y-2}{2} = \frac{z+4}{3} \space and \space \frac{x+3}{-3} = \frac{y+7}{2} = \frac{z-6}{4} is: =

A

197179\frac{197}{\sqrt{179}}

B

197191\frac{197}{\sqrt{191}}

C

197189\frac{197}{\sqrt{189}}

D

197237\frac{197}{\sqrt{237}}

Answer

197237\frac{197}{\sqrt{237}}

Explanation

Solution

The correct option is (D):

197237\frac{197}{\sqrt{237}}