This video explores the relationship between moduli and arguments in the division of complex numbers. Using two complex numbers, z₁ and z₂, it demonstrates that the modulus of their quotient, z₃, is equal to the quotient of their individual moduli: |z₃| = |z₁| / |z₂|. This is shown by calculating the quotient of z₁ and z₂ and then finding its modulus.
The video further demonstrates that the argument of the quotient, z₃, is equal to the difference of the arguments of z₁ and z₂.