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in Vector algebra by (30 points)
Q2 - 24 June - Shift 1 If the shortest distance between the line \( \vec{r}=(-\hat{i}+3 \hat{k})+\lambda(\hat{i}-a \hat{j}) \) and \( \vec{r}=(-\hat{j}+2 \hat{k})+\mu(\hat{i}-\hat{j}+\hat{k}) \) is \( \sqrt{\frac{2}{3}} \), then the integral value of a is equal to

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