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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  3-D Geometry
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Q)

The lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b_1$ and $\overrightarrow r=\overrightarrow a_2+\alpha \overrightarrow b_2$ are coplanar if ?

$\begin{array}{1 1} (a)\:\overrightarrow a_1\times\overrightarrow a_2=0\:\qquad\:(b)\:\overrightarrow b_1\times\overrightarrow b_2=0\:\qquad\:(c)\:(\overrightarrow a_1-\overrightarrow a_2)\times(\overrightarrow b_1-\overrightarrow b_2)=0\:\qquad\:(d)\:[\overrightarrow a_1\:\overrightarrow b_1\:\overrightarrow b_2]=[\overrightarrow a_2\:\overrightarrow b_1\:\overrightarrow b_2] \end{array} $

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