[tex]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[/tex]
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[tex]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[/tex]
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[tex]
\tt{\huge{\pink {Hello!!! }}} [/tex]
[tex]
\tt{\orange{Option \: D \: Is \: Correct . }} [/tex]
[tex]
\tt{\purple{\underline {Step-By-Step-Explaonation \: - }}} [/tex]
[tex]
\tt{\green{Given \: - }} [/tex]
[tex]
\tt{\red{avector + bvector = avector - bvector }} [/tex]
A Vector gets cancelled from both sides.
[tex]
\tt{\blue {2bvector \: = 0 => bvector \: = 0 }} [/tex]
[tex]\huge{ \mathrm{ \underline{ \underline{ \purple{AnsweR}}}}}[/tex]
[tex]\tt{ a \:Vector \: will \: cancel \: each\:other}[/tex]
[tex]{ \mathcal{Remaining\:Equation}}[/tex]
[tex]\sf\ { b\: vector\:=\: -b\:vector }[/tex]
[tex]\sf\ { 2b\:vector\:=\:0}[/tex]
[tex]{ \mathrm{ \boxed{ \boxed{ \pink{b\:vector\:=\:0}}}}}[/tex]
[tex]\therefore{ \orange{ \mathrm{ \large{ \underline{ \underline{\: So \: option \:d \:is \: correct }}}}}}[/tex]