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The lines $\vec{r} = (\hat{i} - \hat{j}) + l(2\hat{i} + \hat{k})$ and $\vec{r} = (2\hat{i} - \hat{j}) + m(\hat{i} + \hat{j} - \hat{k})$:
(1) do not intersect for any values of $l$ and $m$
(2) intersect for all values of $l$ and $m$
(3) intersect when $l = 2$ and $m = \frac{1}{2}$
(4) intersect when $l = 1$ and $m = 2$
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