Question

verify that a×(b×c)=(a×b)×c, if a=-5/7,b=13/15 and c=-1/4​

Answer 1

Solution :-

Value of a = -5/7

Value of b = 13/15

Value of c = -1/4

First, L.H.S :-

$a \times (b \times c)$

Putting the values of a, b and c

$= - \dfrac{5}{7} \times ( \dfrac{13}{15} \times - \dfrac{1}{4} )$

$= - \dfrac{5}{7} \times - \dfrac{13}{60}$

$= \dfrac{13}{84}$

Now, R.H.S :-

$(a \times b) \times c$

Putting the values of a, b and c

$= (- \dfrac{5}{7} \times \dfrac{13}{15} ) \times - \dfrac{1}{4}$

$= - \dfrac{13}{21} \times - \dfrac{1}{4}$

$= \dfrac{13}{84}$

Therefore, L.H.S = R.H.S

Hence, Proved.