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

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Q: )Find the value of x and y in the following equation A.)(3x+2yi)=15 +74i B.) (x+yi)=(5-i)+(2+i)

A: 1-A) Given: 3x+2yi=15+74i Two complex numbers are equal if and only if their real parts and…

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A: We simplify the given equation

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…

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Q: Given x? -x-6+iy² -i2y = -6i. Find x, and y values

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Q: Find x and y so that each of the following equations is true.    4 + 7i = 6x - 14yi

A: given: 4+7i=6x-14yi as we know that the two complex numbers are equal if the real part of one…

Q: 1.Parallelogram FARM is a rectangle with diagonals FR = = + 1 and x-2 2x+3 AM = = -+ Find FR. 2 A R

A: Given- Parallelogram FARM is a rectangle with diagonals FR¯=x3+1  ,  AM¯=x-22+2X+36 To do- Find…

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

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Q: (-4+ 7i)+(8- 9i)

A: Here, we are given two complex numbers -4+7i and 8-9i We shall find their sum Addition of two…

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: lel A= 3i-) B=2itガ-3と Find Vedor C ctA

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Q: Simplify to the form a+ib 4 1-i (b) 1+i 4+5i (c) 6- 5i (a)

A: Note: We answer up-to 3 multiple subparts. Please resubmit question which you would like to get…

Q: If A = -2-3i and B = 3+4i. what is A/B

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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: Find w=a + bi = Vz , where a and b are real numbers. 24+10i W = W

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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, find a.A − 2B

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Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: [5+7i] 3+4i b) A (2+9i) [5+7i 3+4i

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Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i

Q: 5-e and Determine the lowest common denominator for the pair 18e 4e3

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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, findAB

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Q: Find the following expressions if a = 3i – 5k, b =i+j-5k, and c = 4i + 9j + 3k. 1. a · b = 2. а : с…

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Q: Perform the indi cated operations and simplify the expression. 2r-r-3 6r - 7r- 3 4r 12 -1 - 12r +9…

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Q: If a = 5i and b =-3x, then find the value of a b in fully simplified form.

A: Ques : Given that a=5i and b = -3x we have find a2b in simplified form

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: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: Simplify and write as a + bi 4. a) V-50 b) (1 + 2i)(-6- i)

A: (a) Simplify and write the given expression as a+ib as follows.

Q: Which of the following represents the solution set to the equation: x-16x + 65 = 0? (1) 8±2i (3)…

A: From the given data:

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: Calculate the discriminant and state the number of resulting solutions. 2x2 6x +3 5x В I U

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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 B = 2w? + 1 and C = 1– w, find an expression that equals 2B – 2 %3D %3D - in standard form.

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Q: Find x and y so that the following equation is true. 6 + 9i = 9x - 27yi y =

A: Equation is equal if their corresponding real and imaginary part is equal. Given equation: 6+9i=…

Q: Solve for v. 41 24v If there is more than one solution, separate them with commas. If there is no…

A: SOLUTION-

Q: Given: AM 2x + 1, MB Зх + 2, and %3D АВ %3D бх -4 Find: x and AB

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

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

Q: (b) (2 + 3i)¹+i

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

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Q: A 2x+3 B 4x-3 C 30 Enter the answers to the following in the boxes provided: %3D AB

A: Points A, B, C are collinear as they lie on the same line.

Q: Solve for the 2i A = 2 1-1 a. A+B b. A-B following: 3-1 1 -8 0 2-31 2-31 41 (- [305 B=1 3 -9 1 4

A: As per the company policy I can answer 1st question only. For remaining questions please resubmit…

Q: What is the product of v 2445 and (2+6i) A) 1-2i B -4+8i C) -2+8i D 1+2i

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Q: Given the following equations, what will you mutiply the second equation by in order to eliminate d?…

A: From the given equation: 2c+6d=14    ....(1)12c-3d=8    .....(2) To eliminate ''d'', the coefficient…

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

A: Given a→=3i+j-k, b→=2i-j+k, c→=5i+3k 2a→+b→=2(3i+j-k)+(2i-j+k)          =6i+2j-2k+2i-j+k…

Q: Find the value of X and Y that satisfies the following equation - 3i y + y- 2i x +X= 2-i

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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: If r(t) = Give exact answers in component form. a) 7(0) = 57

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.