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

Q: Rn= 16. nini12n+1)- 2+ Thus we have..

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Q: 1o 5. If p l/q, 4 = 12x- 6, and 21 = 14x+ %3D %3D work? 3/4 1/2 5/6 .

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Q: 29 E(- 7i? + 9i + 7) i=1

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Q: Given that, 2 a bi 1+i 2-i i+3 Find the values of a and b.

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Q: If A = 3i – j + 2k, B = 2i + j – k, and C = i – 2j + 2k, find (i) (A × B) × C, (ii) A × (B × C).

A: Given: a=3i-j+2k b=2i+j-k c=i-2j+2k find i)(A × B) × C, (ii) A × (B × C).

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: A CD I AB, BE LAC CD = BE, BD = 5x -7 CE = 2x + 14, DF = 2x + 5, D E EF = 3x - 2. 9. Find m2C 10.…

A: Given: The figure, CD¯⊥AB¯, BE¯⊥AC¯, CD¯=BE¯, BD=5x-7, CE=2x+14, DF=2x+5 and EF=3x-2   To find: m∠C…

Q: Type the correct answer in each box. 21 = 3 cis 7 and 5 cis () %3D If z1 x z2 = a + bi then a = and…

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Q: What value of w makes the following true? 4(w-3) =8w %3D OA -3 OB -1 OC: 4. OD 14

A: We have the following equation  4(w-3)=8w that is 4w-12=8w that is 4w-12-4w=8w-4w that is -12=4w

Q: Ei) dim(COLA) is (ii) dim(ColA)- is (ii) dim(RowA) is (iv) dim(RowA)- is (v) dim(NulA) is

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Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(..

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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: If A = -2 - 3i, and B = 3 + 4i, what is AB?

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Q: -2+3i (az + b)™ dz m if a = 2, b = 3.8, and m = 6. Then, find the imaginary component of the result.

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Q: Find |?|, |?|, |2?|, 1/2v, |u+v|, |?| − |?|. ? = 4i + j,    ? = 2i − 3j   |1/2v| =  |u+v|= |u-v|=…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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

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Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?

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Q: %3D 2. AB = 20, BC = 24, AM = 7, MC = x. x = %3D B 20xX A

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Q: If A= 2+5i, B=6-4ic C=9-2i, where i is the imaginary unit, then AB – C. 23 +20i O 23-20i O 23 + 24i…

A: Given query is to find the value of AB-C.

Q: a. Given z, = -7+ 6i(15+m) and z, = -2i(36-n) + 8i , find |z, + z2l. m=4 n=3

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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: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

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Q: √(3+4i)=A+Bi, find A and B

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Q: (d) If P(A) = 0, then P(AN B) = 0. (e) If P(A) = 1/3 and P(B) = 1/4, then A and B are disjoint. %3D

A: Solution. Given A and B are two event associated with a sample space.

Q: 4. For P -1, (4 + i) ? 15 + 8i 15 + 4i 16 + 4i 16 + 8i CLEAR ALL

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Q: Find a + b, 2a + 3b, |a|, and |a − b|. a = 5i + j,    b = i − 2j

A: Obtain a + b, 2a + 3b and |a| as follows.

Q: 5: If OA = 2i –j+ 3k, OB = 3i + 2j – 4k, OC = -i+3j – 2k Find the yector | 24C + 34R I

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: or B1 Σα +a2 B1 + B2 a1 + > a; i=3 i=3 2 a3 Σ Bi Bi B3 ai + i=1 i=4 i=4 +- (* +) * (2-) (E-) (±-) Bi…

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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, find3A + B

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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: Cannot solve

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Q: 1+ 2i = a + bi , then z = 3- 4i 2 34. If z- 1 z ==+= B 2 Z=- 5 D -152I52N In N

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Q: Divide the quaternion on the right 5 + 4i− 6j  of the quaternion 3i+j-2k

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Q: 6. B;? Let B; = [i – 1, 2i + 1]. What is U i=1

A: We will just use the definition of closed intervals of the real number line and the definition of…

Q: Yz 3-4i, what is in standard form a + ib? 3. 3 (a) 4. (b) 3+ 4i (d) -- (c) -3+ 4i (0) 25

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Q: Let ā = 6i – 5j and b 4i + j. Find a :

A: Here I am attaching image so that you understand each and every step.

Q: calculate (that would mean writing in a+bi form) i) (i+5) * (1+3i),       ii) ((2i)/(3+4i)) -i

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Q: 2) Given: 00 with AB BC; mZAOC-130 Find: a) m AB b) m AC e) mZABC e) mZ BCO

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Q: W/ IF 2, =1-3i, Z=-2+Si & Z3 =- determine as a+bi O 2,-2. , 2 2 ,

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 2 - Find: (a) 3a ,(b) a +b , (c) a-b , (d) la + b|, (e) a- b|, (f) 3a – 4b and (g) | 5a + 2b|. If 1.…

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Q: 5. a. Given z, = -7 + 6i(15+2) and z, = -2i(36-0) + 8i , find |z, + z2]. 4 b. Simplify (+ ), and…

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Q: '5 - i хі+ C) y = 7+ 2i 3 +i,

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

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 1+ i 1+ 6i 0 + 3i 2 + Oi 0– 13i -7+ 4i 3 + 0i If A = and B find AB. 2 – i ? AB ? ?

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Q: Show that 1 (a + b)(1+ i) (a – bi) (a + bi) a² + b² where a, b are reals. Hence, 2UTM 61 |5 – 5i| 1…

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Q: 2. Which of the following is equivalent to E, 3'? c. Σ-3-2 С. i=2 b. E- 3+1 d. E 3i+1 i=-1 i%3D1

A: we can check which option is equivalent to ∑i=043i . Firstly solve given summations and check one by…

Q: Given x1 = 2, x2 = −3, x3 = 4, x4 = −2, y1 = 5,y2 = −3, y3 = 2, and y4 = −1, find(a) 4i=1xi; (b)…

A: Note: Thank you for the question. Since the question is not clear to us, we have considered it as…

Q: Given z = 2 – 3i, find 13 i z z in the form of a + bi

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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…

Q: Find the magnitude of u+o if ū = (2,3,-6) and v = t- 21- k. .

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