If \(L_1\) is a line through the point \(5 \hat{\mathbf{i}}+8 \hat{\mathbf{j}}+11 \hat{\mathbf{k}}\) and parallel to the vector \(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\) and \(L_2\) Is a line through the point \(4 \hat{\mathbf{i}}+6 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}\) and parallel to the vector \(3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\), then the point of intersection of \(L_1\) and \(L_2\) is

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