Solve the system of equation below. Modulus of each unknown. Given : 3u + (1 – i)v+ (3 + 4i)w = (46 + v3)(1 – i) +i(66 – 2/3 %3D (5+ 2i)u – (6 + 2i)v – (2 + 5i)w = (-34 – 6v3) + i(66 – 2v3) 6V3 3iu + 5v + 2(1 + i)w= 5(1+ V3) – 17i Find: |w| – |v| – |u|.

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: Calculate: 4+ 3i (a) -1- 3i (b) (1 + i)(3 – 4i)(4 – i) = i(2 + 2i)³ | (c) (3 – 2i)² ||

A: Given that: (a)4+3i-1-3i(b)(1+i)(3-4i)(4-i)(c)i(2+2i)3(3-2i)2   NOTE: As per our answering…

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: Solve, z2 - 4z + 5 = 0 Given that z, = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, determine…

A: Given equation is, z2-4z+5=0 Now, z=4±16-4×52⇒z=4±-42⇒z=4±2i2=2±i So, the solutions are z=2+i, 2-i

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 5. Let A = [3 – 2i 4i 1+ 6i], and B 3D [5 +i 2-3і 5]. Find (1 - 2i) A + (3 + 1) В. %3D

A: A=[3-2i 4i 1+6i] B=[5+i 2-3i 5].

Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

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Q: If u +2k and v = 3i-i+ 2k then (u x v). (u – v) + u. v equals then (i x u). (u-v) + u. v equals…

A: To find (u*v).(u-v)+(u.v)

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: Q4) Answer two only 5-3i, a) Evaluate i 2+4i b) solve the following to find c and d (3-2 i)(c+id) =…

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Q: (A) Given A = 3i + 5j , B = -4i + j Find the à +B , à – B & Ā. B

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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: Find x and y given that (x+yi)/2+i = (1-i)/2+3i

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Q: Example. Compute z/w where z = 2 + 2i and w = 1 – 2i.

A: To compute z/w where z=2+2i and w=1-2i

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

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: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: If V = 4i + 3k and V2 = -2î + ĵ + 5 k. Find V1 - V2

A: Explanation of the solution is given below...

Q: giv component förm Find (-2, 7) (6, -9). o/O (0.0)

A: We apply formula <a1, b1> . <a2, b2> => < a1.a2 , b1.b2>

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

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Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

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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: [2-3i 5 + 8i 3 – 7i | 9. Find (2 + 3i) A if A = -4 L-6- i 5i

A: We can solve this as follows:

Q: (3) Given that; ū = 2i + 33 – 2k; i = i + 33 + k; & w = 3i +3 – k. Find (i) (i+ ū) - ở (ii) (2ữ –…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

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Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

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Q: m(z + 3i) = 6

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Q: 2. (3i + 7)+(34 – 6i)

A: To simplify the given expression add the given complex numbers.