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

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3-1.Vectors

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

A$\vec A\,.\,\vec B = 0$

B$\vec A \times \vec B = 0$

C$\vec A = 0$

D$\overrightarrow B = 0$

Solution

$\vec{A}+\vec{B}=\vec{A}-\vec{B}$
$(\vec{A}-\vec{A})+\vec{B}+\vec{B}=0$
$0+2\vec{B}=0$
$\vec{B}=0$

Standard 11

Physics

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(JEE MAIN-2021)