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Let the point $$(-1, \alpha, \beta)$$ lie on the line of the shortest distance between the lines $$\frac{x+2}{-3} = \frac{y-2}{4} = \frac{z-5}{2}$$ and $$\frac{x+2}{-1} = \frac{y+6}{2} = \frac{z-1}{0}$$. Then $$(\alpha - \beta)^2$$ is equal to __________
Correct Answer: 25
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