If the angle between the vector $\vec{A}$ and $(\vec{B} \times \vec{A}) \cdot \vec{A}$ is $\theta$, the value of the product $(\vec{B} \times \vec{A}) \cdot \vec{A}$ is equal to:

• A

  $B A^2 \sin \theta$
• B

  $B A^2 \cos \theta$
• C

  $B A^2 \sin \theta \cos \theta$
• Correct answer
  D

  zero

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