If z, = 12 +5i and z, = -5-3i then find: Z2 2- zzlz -I Z2 3.

Q: 3+4i Given that =5 find

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Q: If a = 6i - 2j and b = i + 3j, find each of the following:compa (a + b)

A: Solution: Consider the given vectors are: a = 6i -2jb = i +3j First of all, we will calculate a+b…

Q: If v1 =13i+79j, v2x =24, and v1 x v2 =23k , then, what is v2y and v2z?

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Q: If z = 1+i then z5 is equal to: a. 4 + 4i b. 4 - 4i C. -4 - 4i d. -4 + 4i

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Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: If v = 31 - 5j and w = - 7i+ 4j, find 3v - 4w. О А. 37i- 31ј О В. 171-10] О с. - 4i-j O D. - 19i + j

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Q: 2: Given z1 = 2 + i and z2 3-4i , find Z1 in the form of a + ib. Z2

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Q: If A = -9 + 5i and B = 4 – 3i, find А- В

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: find ŽYeti 4 Yk = X %3D Yuti -B 11 Yktz = +2x8 %3D + 3828 て-) さ4 you = La-B)*

A: In the given question we have to write the series ∑ i=0∞yk+1where yk,yk+1,yk+2,·········so for the…

Q: 6. Given: AB = 2x + 7,BC = 3x + 4, and CD = 3x + 2 %3D Find: x and DA

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Q2: If Z1= 4i-3 22= 3i Z1+Z2 Find Z2

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

Q: ) Find the following expressions if a = 3i – 5k, b =i+j- 5k, and c = 4i + 9j + 3k. %3D 1. а . b %3…

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Q: Q2 :If A = 3i + j- 2k B = -i + 3j + 4k Find, 1- A +B 2- 3A - 2B 3- A x B 4- 0(A,B)

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Q: swers with a comma. If there is no solution, 2x = V19x – 14 + 2 %3D -

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Q: Let ā = – 5i – 6j and b = 2i + 5j. Find a - 5

A: given,        a→=-5i→-6j→b→=2i→+5j→

Q: Find w a +bi = Vz, where a and b are real numbers. -21-20i

A: Given :  -21-20i

Q: If 4x + 6i = 8+3yi , then x +y is equal to A. 1 В. 2 С.3 D. 4

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Q: Q2: If Z1= 4i-3 Z2= 3i Z1+Z2 Find Z2

A: Here there are 4 questions but because of our privacy policy we can solve only one question so post…

Q: If z1 =2+3i and z2 =3+4i, determine z1 z2.

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Q: 3. If Z₁ = 1-1, Z2 = -2 + 4i, Z3 = √3-2i, evaluate Re {2z1³ + 3z2²-5z32). a. 35 b. 35i C. -35 d.…

A: Given z1 = 1 - iz2 = -2 + 4iz3 = 3-2i

Q: If z1 =4+3i and z2 =4−3i, determine z1z2.

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Q: Let z = 2 - 3i and w = -3 + 2i.

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Q: If A x B=-2i-6j+10k , then Bx A= 2i+6j+10k True O False

A: If A and B are two vectors, then their cross product is denoted as A×B . The product, A×B is…

Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

Q: Calculate a · (b+c), if a = 4i+5j, b = 3i– 6j and c = -8i+2j.

A: Given: a=4i+5jb=3i−6jc=−8i+2jfind:a.(b+c)

Q: nd a, b e R such that 4 5 a + bi 1- 2i i - 2 i- 2

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Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

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Q: If v = -6i + 5j and w = -7i + 3j find 4w

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Q: Show if z = 2 + 4i satisfies z? – 4z + 20 = 0

A: To show that a value or number satisfies an equation, we substitute the value in the equation and…

Q: If z1 = 13 – 10i and z, =- 15+ 9i , determine the following: a. 4z1 - 5z2 b. 7122 c. )e, +z2)

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Q: If A=(1+i−1+2i3+2i2−i)A=1+i−1+2i3+2i2−ii and B=(i32−2i)B=i3i2−2i, findBA

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Q: 13) Find mLZKJ if MZLKJ = 96x- 1, MLZKJ = 39x + 1, and mzLKZ = 55°. %3D %3D K

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Q: Given: AM = 2r + 1, MB = 3x + 2, and AB = 6x - 4 Find: x and AB

A: Given:         AM = 2x + 1,  MB = 3x + 2   and AB = 6x - 4   To find:          x and AB.

Q: If a = 6i - 2j and b = i + 3j, find each of the following:(2a - 3b) . a

A: Given a = 6i - 2j b = i + 3j

Q: Reduce Z= (1-2i) (3+2i), to the form a + ib а. 7+4i b. other С. 7-2i d. 7-4i O e. 4-4i

A: We will find out the required value.

Q: Find another representation in which b. ris positive and -2n <0 < 0 a. ris negative and o<e < 2n

A: Given that: 2, π3

Q: If y x4x+3, then 2ix+3ix3 2i 3ix3 O (4x+1)/4x+3 2Ax+3 2x vi3Ar3

A: The function is given by,

Q: Find a + b, 9a + 7b, |a|, and |a - b|. a = 9i – 8j + 7k, b = 7i – 9k a + b = %3D 9а + 7b %3 |a| %3D…

A: To find a+b 9a+7b |a| |a-b|

Q: Q3- If A = 4i + 2j – 3k , B = 5i + 2j – k Find |A X B|

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Q: Evaluate, N = (3+4i)(1+2i) %3D -0.9382 + 0.6342i

A: Here we have, N=3+4i1+2i taking log both sides,

Q: Find w a +bi = Jz, where a and b are real numbers. -60i-11

A: Given, w=a+ib=z -60i-11

Q: if (3a+4b) = 16 and ab = 4 . Find the value of (9a2+16b2)

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Q: Find the BxA where A=3j-i-2K and B= 5i+-3K

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Q: Find (axb) x e if Q2. ах a =i-2j+k, b=i+2j-4k, c=2i– 3j +k

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Q: Find v-w, if v = -2i +2j v-w I (Type an exact answer, using

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Q: Let A=" and let fcx)= 2x-4x+5. Find 4 -3 り b) A

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Q: Use Cayley-Hamilton to find Bª and B¯1 . Where [1 B = |0 2 1 [3 -1 1.

A: cayley hamilton theorem

Q: If z1=1-i,z2=-2+4i.Evaluate |2z2-3z1|²_

A: We need to evaluate |2z2-3z1|2

Q: If z1 =3 - 5i and z2 =26 -2i, find z1 +z2 and z1 -z2.

A: Given that, z1 = 3 - 5i z2 = 26 -2i We have to find z1 + z2 and z1 - z2.

Q: Find a value of b so that 15i - 3j and -4i + bj are orthogonal.

A: The given vectors are:                                            15i- 3j and -4i +bj;   Two vectors…