Two vectors A⃗ and B⃗ are such that A⃗ +

Your Ultimate Guide to JEE & NEET Question Solutions

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

$\overrightarrow B = 0$
Two vectors $\vec A\,{\rm{ and }}\vec B$ are such that $\vec A + \vec B = \vec A - \vec B$. Then
$\vec{A}+\vec{B}=\vec{A}-\vec{B}$
$(\vec{A}-\vec{A})+\vec{B}+\vec{B}=0$
$0+2\vec{B}=0$
$\vec{B}=0$