verify that a×(b×c)=(a×b)×c, if a= -5/7 b= 13/15,c=-1/14
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Answer:
Given:a= -5/7 b= 13/15,c=-1/14
To verify:a×(b×c)=(a×b)×c
=>-5/7x(13/15 x-1/14)=(-5/7x13/15)x-1/14
=>-5/7x -13/210=(-13/21)x-1/14
=>13/294=13/294
Lhs=rhs
Hence verified
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LHS :-
a×(b×c)=-5/7 ×(13/15×-1/14)=-5/7×-13/210=
13/7×42=13/294
RHS:-
(a×b)×c=(-5/7×13/15)×-1/14=-13/21×-1/14
=13/294
LHS=RHS
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