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

Q: Givenu = -3i+j and V = -2i - 5j, find u + v. O 11 01 06 O 13 O 17

A: Given that u=-3i+j and v=-2i-5jTo find : u+vSolution :u+v=-3i+j+-2i-5ju+v=-5i-4j

Q: Need help ASAP

A: u=-9i+6j v= 9i-j w=-2i

Q: If (x + iy)/3 = 3 - 4i , where x, y e R, evaluate O a. -50 O b. 50 O . -28 O d. 28

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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: A = 2 i - 3 j- kand B= i+4 j-2 k, find A x B %3D

A: Given: A→=2i^-3j^-k^ and B→=i^+4j^-2k^, A→×B→=?

Q: + 5j and b = 7i - 33. Find: %3D 2. a- 2- 4. 53 56 6. 2a + 3b 8. a + ñ|

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Q: bläi 4 * find each of a,& b 3 - i 2 – 2i - If a + ib = 2+ 3i then 1– 5i' -

A: Given :         a + ib = 3 - i2 + 3i + 2 - 2i1 - 5i   To find a and b.

Q: 5. a. Given z, =-7+6i(15+m) and z2 = -2i(36–n) + 8i , find |z, + z2]. %3D 3+i 4 b. Simplify +…

A: Question 5) (a) z1 = -7 + 6i(15+m)  and z2 = -2i(36-n) + 8i We have to find z1 + z2 Given that m = 8…

Q: Find a · b. a = 3i + j,    b = i − 6j + k

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Q: A = 32 - 2j Calculate : a) lÃt BI , b) Ā. B,C) 6) A.B, c) Ã+B

A: It can be solved using method of vector addition and vector dot product

Q: Let a = 1-j+ k, b = 4i + 5)-k, and c - -I+j+ 4k. Find the Indicated quantity. a (b x c)

A: Given: a=i-j+k, b=4i+5j-k, c=-i+j+4k To evaluate: a·b×c Cross product of two vectors r→=ai^ +…

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

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Q: (c) If f (2) = (2³ + 6) e'0-, 10z and f' (6i) = re®̟ then what is the value of r² ?

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Q: (3+ 5i) – (2– i) = T+6i O6i i 27 4i

A: First option is correct

Q: 4. Which of the following is a correct substitution for u in the equation x² + 9x+ + 20 = 0? A. u =…

A:

Q: Find a + b, 2a + 3b, |a|, and la - b|. a = 3i + j, b = i – 4j a + b = 2a + 3b = |al %3D la - b| %3D

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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: Q.4) If a = 3i+j-k, b=2i-j+kand c 5i + 3k, find (2 a +b).c.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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

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Q: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

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Q: (b) F. dr = 1 |(가를 -16+ 를) C2: r(t) - Ostsi %3D

A:

Q: (a) Calculate AB, Im(B) and (B - A)* where 1+ 2i В 1- 3i -5 A = -3i 4. i -i

A: The given matrices are: A=01+2i-3i4 , B=1-3i-5i-i To Find: AB, Im(B), (B-A)*. As per policy, we are…

Q: Find all numbers z such that Az + Bz² + Cz = D [2 4 21 li 3 B=[i 1 1. A = -2 -1 [2 4 2] C = 1 3 1 -1…

A: Find all numbers z such that Az3 + Bz2 + Cz =D Given matrices,                              A=242131…

Q: Let C: |z-i|=3 and I = $. e2z dz. Then z2 - |=0 |= 6ti O None of these |= 4Tti O I= 8ti

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Q: If x=⎛⎜⎝23i1−i⎞⎟⎠x=23i1−i and y=⎛⎜⎝−1+i23−i⎞⎟⎠y=−1+i23−i, find(x, y)

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Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj- 2i + 3j + 2k = 3i -j+ zk

A: (2x-2)i+(2y+3)j+2k=3i-j+zk On comparing both sides

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: i) (i × j). k = 2.

A: This can't be equal to 2.

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: If r (t) = Give exact answers in component form. %3D a) 4 b) 7 (0) = 4

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

A:

Q: Express the number z in the form a + b i in each case. 1+ 2i (a) z = 1+ 3i (b) z = v-9 :|5 + 12 i |…

A: i2=-1

Q: Find w =a +bi z , where a and b are real numbers. V-48+14i Wミ W =

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Q: '5 - i хі+ C) y = 7+ 2i 3 +i,

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Q: Find w=a +bi = = Vz , where a and b are real numbers. %3D -60i – 11 W =

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Q: Evaluate z*+3 olz-22²+1+e"]dz, te, C: |z-i-1|=2, CCW.

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Q: 3. If å = 4i + 2j + 4k ,b = -2i + 4j – 3k and č = 4i + 5j. If å + xb is perpendicular to č then find…

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Q: IF A = i-2j-3K, B= 2i tj-K, C= i +3j -2 FIND (LAXB) x C 1 ) ( | A x (BxC) 1) (A • (BXC) (A x B) • C

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Q: Let z = 3+ 4i and w = -2 + i. Find the following and express your %3D answer in the form a + ib. (a)…

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Q: (2-i)(5+ 3i) = %3D 7+2i O 3+4i O 14i O 13+i O

A: Compute (2-i)(5+3i).

Q: O Ex press the following in the form atib : (i) (1+i) (1-zi) I+ 3i 34i (1-i)? (iii) 3 1+i 344i 2-4i…

A: We have to express the given expression in the form a+ib.

Q: iR wa fcu) and メッ show that u ニ メャッ? 2 X Jw ニ0

A:

Q: a = i+ 2j – 2k, b 2i+ b. с ngle between a and c.

A: To evaluate the given vectors.

Q: Simplify 1+i 3 – i (a) 1- i (1+2i)(2+ 2i)+ 1+i - 3 (b) 2i(i – 1) + (V3+ i) + (1+ i)(1+ i).

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Q: Let v = - 9i + 5j and w = - i- 2j. Find 9w +2v. 9w +2v = |(Type your answer in terms of i and j.)

A:

Q: Let u = - 2i + 9j, v= 6i - j, and w = - 5i. Find 4u - (2v - w). 4u - (2v - w) (Type your answer in…

A:

Q: A. V100 in. V36 in. B C (AB)? + (BC)² = (AC)² %3D BC =_ in. %3D

A: AB = √ (36) In. AC = √(100) In. BC = ??. Using pythagoras theorem (AB)2 + (BC)2 = (AC)2…

Q: 3) The distance between 3+i 3+i 2-i 2+i and 3+2i 1-i 1+2i 3+2i is: [1] [3+1] i]

A:

Q: 2+ 5i (a) (-2+3i)²’ (b) e5mi/6, (c) (1+ i)16.

A: 2+5i-2+3i2=2+5i4-9-6i=2+5i-5-6i×-5+6i-5+6i=-10+12i-25i+30-1-52-6i2=-31-13i25+36=-3161-1361i   (b)…