If the shortest distance between the lines \(\mathbf{r}=(3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})+t(-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}})\) and \(\mathbf{r}=(\hat{\mathbf{i}}-7 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})+s(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})\) is equivalent to projection of \(\mathbf{P}=-2 \hat{\mathbf{i}}+11 \hat{\mathbf{j}}\) on \(\mathbf{Q}\) then a possible vector \(\mathbf{Q}\) is

1. A \(\hat{i}+5 \hat{j}-3 \hat{k}\)
2. B \(5 \hat{i}-\hat{j}+3 \hat{k}\)
3. C \(\hat{\mathrm{i}}+3 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}\)
4. D \(3 \hat{i}+5 \hat{j}-\hat{k}\)