-2 3. (a) Given complex numbers 2₁ = 1-i, 22 = 2 + 3i calculate 2₁² +22. in an (b) Illustrate the position of the complex number a 2 eiπ/3 Argand Diagram. Write a in exponential form, and then express this in Cartesian form.

Q: (a) 2122 + 22Z3 + 2321 (b) (c) Re(z) +Im(2?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

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Q: 1. Which of the following is a complex solution to the equation: (x+3)* -4 =-40? (1) 3+7i (3) -3 +6i…

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Q: 2+5i Divide the two complex numbers:- In other words, write it as a single complex number 3+i

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A: Using z= r(cos theta +i sin theta)

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A: Given :Z1=14+7iZ2=3+17i

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Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized