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Consider the following 3 lines in space
\( L_{1}: \mathbf{r}=3 \mathbf{i}-\mathbf{j}+2 \mathbf{k}+\lambda(2 \mathbf{i}+4 \mathbf{j}-\mathbf{k}) \)
\( L_{2}: \mathbf{r}=\mathbf{i}+\mathbf{j}-3 \mathbf{k}+\mu(4 \mathbf{i}+2 \mathbf{j}+4 \mathbf{k}) \)
\( L_{3}: \mathbf{r}=3 \mathbf{i}+2 \mathbf{j}-2 \mathbf{k}+t(2 \mathbf{i}+\mathbf{j}+2 \mathbf{k}) \)
Then, which one of the following pair(s) is/are in the same plane ?
(a) Only \( L_{1} L_{2} \)
(b) Only \( L_{2} L_{3} \)
(c) Only \( L_{3} L_{1} \)
(d) \( L_{1} L_{2} \) and \( L_{2} L_{3} \)
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