The shortest distance between the line \( x=y=z \) and the line \( 2 x+y+z-1=0,3 x+y+2 z-2=0 \) ...

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The shortest distance between the line \( x=y=z \) and the line \( 2 x+y+z-1=0,3 x+y+2 z-2=0 \)
(a) \( \frac{1}{\sqrt{2}} \)
(b) \( \sqrt{2} \)
(c) \( \frac{3}{\sqrt{2}} \)
(d) \( \frac{\sqrt{3}}{2} \)
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