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Question: Answered & Verified by Expert
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:
PhysicsMathematics in PhysicsNEETNEET 2005
Options:
  • A $B A^2 \sin \theta$
  • B $B A^2 \cos \theta$
  • C $B A^2 \sin \theta \cos \theta$
  • D zero
Solution:
2625 Upvotes Verified Answer
The correct answer is: zero
$(\vec{B} \times \vec{B}) \vec{A}=(B A \sin \theta)(\vec{n} \cdot \vec{A})=0$
Since $n$ is perpendicular to both $\vec{A}$ and $\vec{B}$.

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