To justify the construction of the figure below, show that OABC is a parallelogram, that is, that AB-OC and OA- OB. = A O u ข u+v C B X |

Q: 4. Express in terms of i (d) V-27 (e) -V-49

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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: Let u = (1, 0, 2), v = (0, 1, 1) and w = (2,1,0). Which of the following statements are true? (i)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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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: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

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Q: If VW = u + 48 and XZ = 5u + 15, what is the value of u? Y N X W

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Q: IEvaluate Ax)-2x+3x-4 A) x-3 B) x-h+/

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Q: 3x Calculate: dx (x² + 2)² 3 а) + C 4 (x² + 2)² 3 + C x² + 2 b) 3 c) +C 4x2 + 8 3 + C 2x2 + 4 d) 1…

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Q: alm +3)+ m= Bm 3m-

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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: X」+iyュ-Xz+iy2* =xロ Y」=V,ロ しr%3DV 2.

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Q: 3x dz Find x- : +y , if z == 3x-4y dz ду За — Answer:

A: Explanation of the answer is as follows

Q: h B L3 L2 Select one: A a. L₁/√(L₁²+L3² +h²) b. -L₁/√(L₁²+L3² +L5²) c. h/√(L₁²+L3²+ h²) d.…

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

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Q: -2a -2b -2c b. det | 2p+x 2q+y 2r+z Зу 3x 3z

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Q: Let a b A = d e h i and -2a -2b -2c B =| -2g -2h -2i -2d -2e -2f Given that det(A") = 1, what is…

A: We want to find det(B) from given information

Q: Check if u = je-t is a solution of the equation: u, + u,, = (r² + t²)u.

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Q: In AORD, MLDRO = 2x, m<RDO = x+ 30 and M2WOR = 5x - 50. Which equation would be used to determine…

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Q: Given u x = (-2,- 1, 1), find (u - 30) x (u + 2v)

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Q: Ex. Show that V1 = 3i + 7j & V2 =i++1)j a %3D %3D are equal ?

A: Simple vector problem...

Q: Assume that n(U)=90n(U)=90, n(A)=41n(A)=41, n(B′)=50n(B′)=50, and n(A∪B)=63n(A∪B)=63. Find n(A∩B)

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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: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).

Q: make outbound Äx -4V3B =-12A B BA 0 = the corner achieve True false

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Q: Given u x = (-3, -4,-2), find (u-37) x (u + 4v).

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Q: a2z + əx2 a²z If z = In(x? + y²), find ду?

A: Find ∂2z∂x2+∂2z∂y2.

Q: Simplify and state any restrictions on the variabl y²-2y-B a) 2y²-8y y²–4 y-2 + 2X+1 (x-2)² b)- - 4…

A: First we can simplify these expressions. Then we find the restriction on variable.