Question
Two vectors $\vec A\,{\rm{ and }}\vec B$ are such that $\vec A + \vec B = \vec A - \vec B$. Then

Answer

$\vec{A}+\vec{B}=\vec{A}-\vec{B}$

$(\vec{A}-\vec{A})+\vec{B}+\vec{B}=0$

$0+2\vec{B}=0$

$\vec{B}=0$

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