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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  3-D Geometry
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The angle between the line $\overrightarrow r=(2\hat i-\hat j+3\hat k)+\lambda(3\hat i-\hat j+2\hat k)\:\:and\:\:the\:\:plane\:\:\overrightarrow r.(\hat i+\hat j+\hat k)=3$ is ?

$\begin{array}{1 1} cos^{-1}\large\frac{4}{\sqrt {42}} \\ sin^{-1}\large\frac{4}{\sqrt {42}} \\ tan^{-1}\large\frac{4}{\sqrt {42}} \\ tan^{-1}4\end{array} $

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