question_answer

The angle between the line \[\overrightarrow{r}=(\hat{i}+2\hat{j}+3\hat{k})+\lambda \,\,(2\hat{i}+3\hat{j}+4\hat{k})\]  and the plane \[\overrightarrow{r}.(\hat{i}+2\hat{j}-2\hat{k})=0\] is_________.

A)  \[30{}^\circ \]                         

B)  \[45{}^\circ \]

C)  \[60{}^\circ \]                         

D)  \[90{}^\circ \]

E)  None of these