If  $\overrightarrow{a}, \overrightarrow{b}$ and $\overrightarrow{c}$ are three vectors, such that $\left|\overrightarrow{a}\right|=2, \left|\overrightarrow{b}\right|=3, \left|\overrightarrow{c}\right|=4,$ $\overrightarrow{a}\cdot \overrightarrow{c}=0, \overrightarrow{a}\cdot \overrightarrow{b}=0$ and the angle between $\overrightarrow{b}$ and $\overrightarrow{c}$ is $\frac{\pi }{3},$ then the value of $\left|\overrightarrow{a}\times \left(2\overrightarrow{b}-3\overrightarrow{c}\right)\right|$ is equal to

• Correct answer
  A

  $12\sqrt{3}$
• B

  $6\sqrt{3}$
• C

  $3\sqrt{3}$
• D

  $5$

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