Consider the following three lines in space \( L_{1}: \overline{\mathrm{r}}=3 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}+\lambda(2 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}-\hat{\mathrm{k}}) ; \mathrm{L}_{2}: \overline{\mathrm{r}}= \)
(V) \( \hat{i}+\hat{j}-3 \hat{k}+\mu(4 \hat{i}+2 \hat{j}+4 \hat{k}) ; L_{3}: \bar{r}=3 \hat{i}-2 \hat{j}-2 \hat{k}+t(2 \hat{i}+4 \hat{j}-2 \hat{k}) \) Which one of the following pair(s) are in the same plane
A Only \( \mathrm{L}_{1} \mathrm{~L}_{2} \)
B Only \( \mathrm{L}_{2} \mathrm{~L}_{3} \)
C Only \( \mathrm{L}_{3} \mathrm{~L}_{1} \)
D \( \mathrm{L}_{1} \mathrm{~L}_{2} \) and \( \mathrm{L}_{2} \mathrm{~L}_{3} \)
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