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