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consider a be xi+yj
b be mi+nj
c be ai+bj
now a+(b+c)=(xi+yj)+((m+a)i+(n+b)j)
=> (x+m+a)i+(y+n+b)j
similarly (a+b)+c= ((x+m)i+(y+n)j)+ai+bj
=(x+m+a)i+(y+n+b)j
b be mi+nj
c be ai+bj
now a+(b+c)=(xi+yj)+((m+a)i+(n+b)j)
=> (x+m+a)i+(y+n+b)j
similarly (a+b)+c= ((x+m)i+(y+n)j)+ai+bj
=(x+m+a)i+(y+n+b)j
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