if
a ∝ b and
a ∝ c
multiplying both sides shouldn't it be
a² ∝ bc
then how is it
a ∝ bc
does that not make the constant itself dependent on the variable a
how is that possible
please give me a step by step explanation
Thank you for your time :)
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Since a∝b & a∝c ,
we haven't multiplied both we actually combined both equation , if we combine both equations since a is directly proportional to both we can write it as
a∝ bc ,
like u can take the example of gravitational force , which says
F∝ 1/r²
F ∝ m1m2
where m1 & m2 are masses of two different objects
& we get the formula by combining
F ∝ m1m2/r²
Hope it clears .... ^_^
we haven't multiplied both we actually combined both equation , if we combine both equations since a is directly proportional to both we can write it as
a∝ bc ,
like u can take the example of gravitational force , which says
F∝ 1/r²
F ∝ m1m2
where m1 & m2 are masses of two different objects
& we get the formula by combining
F ∝ m1m2/r²
Hope it clears .... ^_^
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