Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} α1. Find (ΧΛΥ) υ(ΥΛ Χ) а2. Find Y U (Ү-X)

Q: u= (2, 1, –1) v = (-4, 3a + B, 2) w = (a, 0, 26) Find the values of a and ß such that u is parallel…

A: In this question we will use basic of calculus i.e concept of vector product. We will use the…

Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: If z = f(u, v), u = g(r, s), v = h(r, t), r = j(s, t), and s= k(t) then dz dž=fu(u, v) [g- (r, s)[j.…

A: Given that we need to check that the statement for the derivative as given below is correct or not.…

Q: Find u · (v x w). (4, 4, 4) (4, 6, 0) w = (0, 0, 9) u = V =

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Q: Find the number of terms in g(u, v) and u(r,s), v(r,s). 718 where z =

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Q: Find u · (v × w). u = v = w =

A: Answer is 0

Q: Evaluate e/| 7xyz dS, where S is the triangle with vertices (1,0, 0), (0, 2, 0), and (0, 1, 1). (Use…

A: The complete solutions are given below

Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

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Q: 17. Show that Z () = zlog

A: Z-tramsform

Q: Find u x v, v x u, and v x v. | = (−1, 5, 4) v = (-5, -4, -7)

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Q: 30. (-2, 2) reflected through the origin is a. (2, 2) b. (2, -2) с. (-2, 2) d. (-2, -2)

A: Rule:- A point  (x,y) after reflection through origin becomes ( -x , -y )

Q: = x° + y*, ¤ = + u, and y = v – u². Find Your answer should be in terms of r, y, u, and v. dv

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Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Find u (v x W). u = (3,3,3) (5,9, 0) V = w = (0, 0, 3)

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Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

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Q: Find w such that 2u + v – 3w = 0. u = (2, 7, 5, 0), v = (-3, 1, W =

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: Find the angle between u and v. - [8] -- [14] = B = U =

A: Given query is find the angle between the vectors.

Q: Simplify. (3- 2i) (4 - i) O A. 14 - 1li B. 10 - 11i O C. 12 - 3i O D. 12 + 2i

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Q: Let u = [-1, 2, 2] and v = [1, -1, 1] Find (급x) O [3, 4, 1] [3, 4, -1] OI-1, 3, 4] O 14, 3, -1)

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Q: Find u x v, v x u, and v x v.

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Q: Let u=<-1,1> v=<-3,4> and w=<0,-2> Find u-v+4w

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Q: Suppose u = (1,0, –2), v = (-6, –-15, -3), and w = (4,10, 2). W

A: Write u and v in vector form.

Q: u = ⟨3, 4⟩, v = ⟨−1, 5⟩ Find         (a) u ∙ v, (b) u ∙ u, (c) ||v ||2 , (d) (u ∙ v)v, and      (e)…

A: Given vectors are u=3,4 and v=-1,5. Given vectors can be written as: u=3i+4j and v=-i+5j. (a)…

Q: Suppose u = (4, 3, 0), v = (−1, −5, 5) and w=(5,-4, 0). Then: ú.v= u.w= v • w=

A: According to the Bartleby guidelines we are suppopsed to do the first three subparts of multiple…