Question

$a\ vector+b\ vector=a\ vector-b\ vector, then\ which\ of\ the\ following\ is\ correct?\\a)\ a\ vector+b\ vector=0\\b)\ a\ vector-b\ vector=0\\c)\ a\ vector=0\\d)\ b\ vector=0$

Answer 1

$</p><p>\tt{\huge{\pink {Hello!!! }}}$

$</p><p>\tt{\orange{Option \: D \: Is \: Correct . }}$

$</p><p>\tt{\purple{\underline {Step-By-Step-Explaonation \: - }}}$

$</p><p>\tt{\green{Given \: - }}$

$</p><p>\tt{\red{avector + bvector = avector - bvector }}$

A Vector gets cancelled from both sides.

$</p><p>\tt{\blue {2bvector \: = 0 => bvector \: = 0 }}$

Answer 2

$\huge{ \mathrm{ \underline{ \underline{ \purple{AnsweR}}}}}$

$\tt{ a \:Vector \: will \: cancel \: each\:other}$

${ \mathcal{Remaining\:Equation}}$

$\sf\ { b\: vector\:=\: -b\:vector }$

$\sf\ { 2b\:vector\:=\:0}$

${ \mathrm{ \boxed{ \boxed{ \pink{b\:vector\:=\:0}}}}}$

$\therefore{ \orange{ \mathrm{ \large{ \underline{ \underline{\: So \: option \:d \:is \: correct }}}}}}$