Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5, —5)

Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

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Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

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Q: If r = 3, s = 4, t = 2, then 3r+ 6s - 2t = 4r + s + 2t Select one: True O False

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Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

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Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

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Q: Determine C if u=v=O (20 — 5и + 3)du - (20 + 4и — 6)dи %3D O 27 L- C

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Q: Calculate f (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

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Q: W(-4, -3), X(1, -2), Y(2, -7), Z(-3, -8) WXYZ is a

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Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify.…

Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

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Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

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Q: Calculate (3xy + 4e) ds, where S is the triangle with vertices (0, 0, 3), (1.0, 2), and (0,4, 1).…

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Q: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: Calculate (5xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A: Given

Q: Find det(4). 1 2 2+a 3 3 3+a 3 4 4 4+a,

A: Remark:  Interchanging two rows or columns causes the determinant to switch sign. If we multiply a…

Q: 2. Find u, 3v, v - u, and 2u + 5v. u = (4, 3), v = (3, -7) (a) u 券 (b) 3v (c) v - u (d) 2u + 5v

A: Please find the solution below:

Q: Evaluate (4D5 – 23D3 – 33D² – 17D – 3)y = 0 3x a. y = (C1 + C2 + C3x²)e¯* + (C4x + C5)e7 3x b. y =…

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Q: A B D (i), (iv) (i), (iii) (ii), (iii) (i), (v) (ii), (iv) Find U10 and U12: (i): U10 = {1,3,7,9}…

A: Answer is A

Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: A B D E (i), (iv) (i), (iii) (ii), (iii) (i), (v) (ii), (iv) Find U10 and U12: (i): U10 = {1,3,7,9}…

A: Please find attachment

Q: 3). B = ( 1 2 4 2 :). Find 2A + 2B – 3C -4 and C = (* Given A = - 4 3 2 3

A: Given matricesA = 21243-1B = 104215C = -4213-212A + 2B - 3C = ?

Q: 2j(5-j3) (2+j)(1+j4) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b.

A: Given (2a+jb)+(b-j3a)=2j(5-j3)(2+j)(1+j4) Here we know  j2=-1 So we can write the above equation as…

Q: Suppose B = (-8, –9) and АВ — (-16, –16). Then || A =

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Q: Which equation represents OB? 2 -2 B

A: Centre is at (3,-3)  Radius is 2 units

Q: а) (Зу?)(4y5) (xy²z*)* b) (x²y²z}3 5

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…