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For the Complex Numbers Z1 = 1 - I θ\theta

Question 67

Essay

For the complex numbers z1 = 1 -  For the complex numbers z<sub>1</sub> = 1 -   i and z<sub>2</sub> = -5 + 0i (a) Find the moduli r<sub>1</sub> and r<sub>2</sub> and the arguments  \theta <sub>1</sub> and  \theta <sub>2</sub>. (b) Compute the quotient in rectangular form. (c) Find the modulus r and argument  \theta  of the quotient. (d) Verify that   = r and  \theta <sub>1</sub> -  \theta <sub>2</sub> =  \theta . i and z2 = -5 + 0i
(a) Find the moduli r1 and r2 and the arguments θ\theta 1 and θ\theta 2.
(b) Compute the quotient in rectangular form.
(c) Find the modulus r and argument θ\theta of the quotient.
(d) Verify that  For the complex numbers z<sub>1</sub> = 1 -   i and z<sub>2</sub> = -5 + 0i (a) Find the moduli r<sub>1</sub> and r<sub>2</sub> and the arguments  \theta <sub>1</sub> and  \theta <sub>2</sub>. (b) Compute the quotient in rectangular form. (c) Find the modulus r and argument  \theta  of the quotient. (d) Verify that   = r and  \theta <sub>1</sub> -  \theta <sub>2</sub> =  \theta . = r and θ\theta 1 - θ\theta 2 = θ\theta .

Correct Answer:

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(a) r1 = 2, r2...

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