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NEET UG PHYSICS MCQ: MOTION IN PLANE

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Two vectors A⃗\vec{A} and B⃗\vec{B} are such that A⃗+B⃗=C⃗\vec{A}+\vec{B}=\vec{C} and A2+B2=C2A^2+B^2=C^2. Which of the following statements is correct?
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Correct option: A
A⃗\vec{A} is perpendicular to B⃗\vec{B}
Option A (A⃗\vec{A} is perpendicular to B⃗\vec{B}) is correct because the equation A2+B2=C2A^2 + B^2 = C^2 implies that the vectors A⃗\vec{A} and B⃗\vec{B} form a right-angled triangle, meaning they are perpendicular.

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