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Multiplication Of Complex Numbers In Polar Form

 What is the result of multiplying two complex numbers z1=5 cis(π/6)  and z2=3 cis(π/6)  in polar form?

What is the result of multiplying two complex numbers z1=3 cis(π/4)  and  z2=7cis(-π/6) in polar form?

 What is the result of multiplying two complex numbers z1=13 cis(π/2) and z2= cis(π/6) in polar form?

What is the result of multiplying two complex number z1=11 cis (π/2) and z2= cis (π/2) in polar form?

What is the result of multiplying two complex numbers z1=4 cis(π/4) and z2=3 cis (π/4) in polar form?

What is the result of multiplying two complex numbers z1=r1 cis(θ1) and z2=r2 cis(θ2) in polar form?

When multiplying a complex number by its conjugate in polar form, what happens to the argument (angle) of the result?

What is the result of multiplying two complex numbers z1=2 cis(π/2)  and z2=7 cis(π/3)  in polar form?

When multiplying complex numbers in polar form, what happens to their magnitudes?

When multiplying complex numbers in polar form, what happens to their arguments (angles)?