The plane $\vec{r} . \vec{n}=q$ will contain the line $\vec{r}=\vec{a} \times \lambda \vec{b}$, provided: |
$\vec{b} . \vec{n} \neq 0, \vec{a} . \vec{n} \neq q$ $\vec{b} . \vec{n}=0, \vec{a} . \vec{n} \neq q$ $\vec{b} . \vec{n}=0, \vec{a} . \vec{n}=q$ $\vec{b} . \vec{n} \neq 0, \vec{a} . \vec{n}=q$ |
$\vec{b} . \vec{n}=0, \vec{a} . \vec{n}=q$ |
We must have $\vec{b} . \vec{n}=0$ and $\vec{a} . \vec{n}=q$ Hence (3) is correct answer. |