If the shortest distance between the lines \( \overrightarrow{r_{1}...

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If the shortest distance between the lines \( \overrightarrow{r_{1}}=\alpha \hat{i}+2 \hat{j}+2 \hat{k}+\lambda(\hat{i}-2 \hat{j}+2 \hat{k}), \lambda \in \mathrm{R}, \alpha0 \) and
\( \mathrm{P} \) \( \overrightarrow{r_{2}}=-4 \hat{i}-\hat{k}+\mu(3 \hat{i}-2 \hat{j}-2 \hat{k}), \mu \in \mathrm{R} \) is 9 , then \( \alpha \) is equal to
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