Angle between the line \[\mathbf{r}=(\mathbf{i}+2\mathbf{j}-\mathbf{k})+\lambda (\mathbf{i}-\mathbf{j}+\mathbf{k})\] and the normal to the plane \[\mathbf{r}\,.\,(2\mathbf{i}-\mathbf{j}+\mathbf{k})=4\] is [MP PET 1997]

\[{{\cos }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]

\[{{\sin }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]

\[{{\tan }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]

\[{{\cot }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]

Angle between the line \[\mathbf{r}=(\mathbf{i}+2\mathbf{j}-\mathbf{k}

1.	Angle between the line \[\mathbf{r}=(\mathbf{i}+2\mathbf{j}-\mathbf{k})+\lambda (\mathbf{i}-\mathbf{j}+\mathbf{k})\] and the normal to the plane \[\mathbf{r}\,.\,(2\mathbf{i}-\mathbf{j}+\mathbf{k})=4\] is [MP PET 1997]
A.	\[{{\sin }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]
B.	\[{{\cos }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]
C.	\[{{\tan }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]
D.	\[{{\cot }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]
Answer» B. \[{{\cos }^{-1}}\,\left( \frac{2\sqrt{2}}{3} \right)\]

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Angle between the line \[\mathbf{r}=(\mathbf{i}+2\mathbf{j}-\mathbf{k})+\lambda (\mathbf{i}-\mathbf{j}+\mathbf{k})\] and the normal to the plane \[\mathbf{r}\,.\,(2\mathbf{i}-\mathbf{j}+\mathbf{k})=4\] is [MP PET 1997]

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