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\(L1, L2 \) are in \(\mathbb{R}^3\) they do not necessarily have to have a point of intersection
The way I read the only thing we surely know is that the unknown line \(L_x\) intersects both, \(L_1\) and \(L_2\) in one point. There is no statement about the intersection of \(L_1\) and \(L_2\), in fact you can easily check that lines \(L_1\) and \(L_1\) don't intersect one another.
ok i'll try thanks
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