Question

11) Verify the property a x b = b x a by taking :

1) a = (-12/7), b = (-21/5) 2) a = 0 , b = (-13/3)​

Answer 1

1.

a = (-12)/7

b = (-21)/5

a x b = b x a

$\rightarrow \sf \frac{ - 12}{7} \times \frac{ - 21}{5} = \frac{ - 21}{5} \times \frac{ - 12}{7} \\ \sf \: \rightarrow \: \frac{252}{35} = \frac{252}{35} \\ \rightarrow \sf \: LHS = RHS \\ \\ \sf \: Hence \: Verified.$

2.

a = 0

b = (-13)/3

a x b = b x a

$\rightarrow \sf 0\times \frac{ - 13}{2} = \frac{ - 13}{2} \times 0 \\ \sf \: \rightarrow \: \frac{0}{2} = \frac{0}{2} \\ \sf \rightarrow \: 0 = 0 \\ \rightarrow \sf \: LHS = RHS \\ \\ \sf \: Hence \: Verified.$