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Question: Answered & Verified by Expert
Assertion : If dot product and cross product of $\vec{P}$ and $\vec{Q}$ are zero, it implies that one of the vector $\vec{P}$ and $\vec{Q}$ must be null vector.
Reason : A null vector is a vector of zero magnitude.
PhysicsMathematics in PhysicsAIIMSAIIMS 2018 (27 May)
Options:
  • A If both assertion and reason are true and reason is the correct explanation of assertion.
  • B If both assertion and reason are true but reason is not the correct explanation of assertion.
  • C If assertion is true but reason is false.
  • D If both assertion and reason are false.
Solution:
1577 Upvotes Verified Answer
The correct answer is: If both assertion and reason are true but reason is not the correct explanation of assertion.
As per question, $|\vec{A} \cdot \vec{B}|=|\vec{A} \times \vec{B}|=0$ This is possible if either $A=0$ or $B=0$. Magnitude of a null vector is zero.

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