The acute angle between the line$\overrightarrow{r}=\left(\widehat{i}+2\widehat{j}+\widehat{k}\right)+\lambda \left(\widehat{i}+\widehat{j}+\widehat{k}\right)$ and the plane $\overrightarrow{r}.\left(2\widehat{i}+\widehat{j}+\widehat{k}\right)=5$ is

• A

  ${\cos }^{-1} \left(\frac{\sqrt{2}}{3}\right)$
• Correct answer
  B

  ${\text{sin}}^{-1}\left(\frac{2\sqrt{2}}{3}\right)$
• C

  ${\tan }^{-1} \left(\frac{\sqrt{2}}{3}\right)$
• D

  ${\sin }^{-1} \left(\frac{\sqrt{2}}{\sqrt{3}}\right)$

Hence, the correct answer is option: 'B'.