Let $\overrightarrow{\mathrm{A}}$ be a vector parallel to the line of intersection of the planes ${\mathrm{P}}_1$ and ${\mathrm{P}}_2$. The plane ${\mathrm{P}}_1$ is parallel to the vectors $2\widehat{j}+3\widehat{k}$ and $4\widehat{j}-3\widehat{k}$ while plane $P_2$ is parallel to the vectors $\widehat{j}-\widehat{k}$ and $\widehat{i}+\widehat{j}$. The acute angle between $\overrightarrow{\mathrm{A}}$ and $2\widehat{i}+\widehat{j}-2\widehat{k}$ is

• A

  $\frac{\pi }{6}$
• Correct answer
  B

  $\frac{\pi }{4}$
• C

  $\frac{\pi }{3}$
• D

  $\frac{5\pi }{12}$

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