Let $\theta$ be the angle between two vectors $\vec{A}$ and $\vec{B}$. If $\hat{a}_{\perp}$ is the unit vector perpendicular to $\vec{A}$, then the direction of $\vec{B}-B \sin \theta \hat{a}_{\perp}$ is

• A

  along $\vec{B}$
• B

  perpendicular to $\vec{B}$
• Correct answer
  C

  along $\vec{A}$
• D

  perpendicular to $\vec{A}$

Solution

$\vec{B}-B \sin \theta \hat{a}_{\perp}$ is along $\vec{A}$

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