Question Given z = 1 + V3i, find zº using De Moivre's Theorem. Select the correct answer below: O 32 -32i 64 64i O 32/3 – 32i O 32i

Q: Find the following expressions if a = 3i - 5k, b = i+j3k, and c = 4i + 5j + 3k. 1. a.b: 2. a. c = 3.…

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Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: (а) —3 i, (b) (3 – 5i) – (1+ 5i) + i, -3 (c) i i, %3D + ||

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Q: Assume Z₁ = 2 - i and Z₂ = 1 + 3i. Find the product and quotient of z1 and 22. Z₁Z2 = Z1/Z2 =

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Q: Add and simplify. (4 – 7i) + (4 – 8i)

A: While adding two complex numbers having real and imaginary parts, add the real part of one complex…

Q: √(3+4i)=A+Bi, find A and B

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Q: Write the expression in rectangular form, i.e., a+bi:   9(cos(90∘)+isin(90∘))=

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Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

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Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i

Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.