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.…

A:

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

A:

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: 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 =

A:

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

A:

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.

A:

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

A:

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

A:

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

A:

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