Evaluate. (3, 5, –2) · (2i – 9k) -39 -1 O5/2 O5/3 24 6i + 18k

Q: If B = p+5 and A = p² + 10p +1, find an expression that equals 2B+3A in %3D %3D standard form.

A: Given: B=p+5A=p2+10p+1 Here, the objective is to find the value of the expression 2B+3A.

Q: у %3D — х? + бх — 3. - - O y = -(x – 6)2 – 3 %3D | O y = -(x - 3)² + 6 %3| O y = (x – 2)² + 10 O y =…

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Q: Write the product as a sum: 18 cos(25v)cos(6v)

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Q: add or subtract as indicated. (-8 + 4i ) - (9 - 4i )

A: Given that: -8+4i-9-4i

Q: a) z + b) z- w c) w - d) w 2 IN

A: Use the complex number and its conjugate pair concept.

Q: The product of (3-2) and (7+ 6i) is A 21 – 12i B 33 + 4i 9-4i D 12 + 16i C.

A:

Q: add or subtract as indicated. (-7 + 3i ) - (5 - 2i )

A: Given: -7+3i-5-2i Now we group the real part and the imaginary part of the complex number.…

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: Perform the indicated operations. 3. (4−i)(3+2i) / (1−3i) 4. (7−i)+(−3+2i) /  −1−2i

A: 3) (4-i)(3+2i)1-3i = (4)(3)+(4)(2i)+(-i)(3)+(-i)(2i)1-3i= 12+8i-3i-2i21-3i= 12+8i-3i+21-3i=…

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

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

Q: Evaluate -1 8i+9 i=1n²

A:

Q: add or subtract as indicated. (12 - 9i ) - (14 - 6i )

A: Consider the given expression (12 - 9i ) - (14 - 6i ).

Q: Determine the product of (1 + i) and (1–31) A) 4- 2i B) 2 + 4i c) 2- 2i D) 2-4i

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Q: add or subtract as indicated. (4 - 8i ) - (8 - 3i )

A: Given that, the complex number (4 - 8i ) - (8 - 3i ) To subtract two complex number

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

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Q: Use the diagram of LJĀBCD to find each value. B 127" x+ 2 2х -3 1. mLA 2. mZD 3. х 4. AB A

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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: 8a + 12b + 4a – 6b?

A: 8a + 12b + 4a – 6b =8a+4a+12b-6b =(8+4)a + (12-6)b =12a+6b

Q: he LCD of 7/6x and 8/3x+12

A: LCD is the lowest common multiple of the denominators of a set of fraction .

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

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

A:

Q: n Compute (2i? – 7i) = i=1

A: ∑i=1n2i2-7i

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: 1. (2ab)3 Ob) 2ab3 Oa) 8a3b3 O d) 6ab O ) 6a b3 Simplify:(x*Xx?) 2. O b) x6 O a) x5 O d) x1.5 O C) X

A:

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: Enter all answers in the answer blank separated by commas. (1)- 3-3i 3+ 3i + 22 (2) z2 +1 3z -1 (3)…

A:

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

A:

Q: Determine the product of (1 + 1) and (1– 3/) A) 2-4i B 2- 2i c) 4- 2i D) 2+ 4i

A: Product of (1+i) and (1-3i)

Q: If z1 = 2+ j3 , z2 = -3+ j4 and 23 = 5 – j %3D what is the simplified form of 21+23

A: The general form of a complex number is given by z=a+jb, where a,b are two real numbers and j=-1. In…

Q: 2.((6e0.924i)(4+7i)³ )6

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Q: If D = w? – 7 and C = 3+ 10w, find an expression that equals D – C in %3D - standard form.

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Q: Given ğ = – 9ỉ – 4j and 7 = 31 – 73, find ğ + q. %3D %3D - g+q =

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Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

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Q: If v = 9i - 12j, find I. O 15 O 225 21

A: Given that V=9i-12j

Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: Bnd The lengi and divection op AxB BXA if+ A=2i, B=-3j. %3D

A: We have to find the length and direction.

Q: For A= 21 +3j-R, E = -i+ 2j + sk, and C = 2j - 3k, find C (A - B). %3D

A: Here given that                            A→=2i^+3j^-k^B→=-i^+2j^+5k^C→=2j^-3k^ We have to find…

Q: What is im ) 1+2i 3-4i 1 А. D. 2/5 B.

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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: (5 + 7i) * (3 – 2i)

A:

Q: The product (6+2i)(4–3i) can be written as (1) 24– 6i (3) 2+5i (2) 18+10i (4) 30-10i

A: Given equation (6+2i)(4-3i)=6(4-3i)+2i(4-3i)  = 24-18i+8i-6i2  = 24-10i +6         [∴ i2= (-1)]  =…

Q: /| xV4 – x²dA; R = {(x, y): 0 < x < 2, 8 < y < 11} R i

A:

Q: 38. I| x²ydA, R=[-1,1] × [0, 2]

A: Given: ∫∫Rx2ydA , R=-1,1×0,2