The lines \( \vec{r}=\vec{a}+\lambda(\vec{b} \times \vec{c}) \) and...
The lines \( \vec{r}=\vec{a}+\lambda(\vec{b} \times \vec{c}) \) and \( \vec{r}=\vec{b}+\mu(\vec{c} \times \vec{a}) \) will intersect if
\( \mathrm{P} \)
(1) \( \vec{a} \times \vec{c}=\vec{b} \times \vec{c} \)
(2) \( \vec{a} \cdot \vec{c}=\vec{b} \cdot \vec{c} \)
(3) \( \vec{b} \times \vec{a}=\vec{c} \times \vec{a} \)
(4) none of these
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