With U={1,2,3,..,9,10} and A={1,2,3,4,5} B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine C' u D' O U- {A} O U- {2} O U- {6} O U- {3,4,7}

Q: 4. Let U = {m,a,t,h,e,w,d,i,n} %3D X = { e,w,m,a,t} y = {e,w,d,i,n} %3D %3D Z= {h,e,w} Find Z' N (Y-…

A:

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

A:

Q: b) Show that z, + z, = z, + Z, . 2

A:

Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2]

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

Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

A:

Q: Let ū (7, – 4, – 2) and i (6, – 1, 4). - - - Compute the following: v x ú = || и хиE 5(ū x i) = йх…

A:

Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

A:

Q: 16.) If u= (2, k, 1, 4) and v= (3,-1, 6,-3), find k such that ||u – v|| = 6

A: Given:        u=2,k,1,4         v=3,-1,6,-3     u-v=6      u-v=2,k,1,4-3,-1,6,-3…

Q: Consider the following. u 3 (-4, =(-4, 6), v = (1, 1) (a) Calculate projy u.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: calculate the linear combinations. u = (4, 2, −6), v = (2, −1, 3)

A: Let w=(x,y,z)w=k1v1+k2v2x=k1×u+k2×2              .....,(1)y=k1×2+k2×(-1)…

Q: Let u = (-1,3)and v = (1, –1), then proj,u is: O (1,1) O (2,2) O (-1,1) O (-2,2)

A:

Q: Show that z, + z, = =, + 2 .

A: We have to prove that z1+z2=z1+z2 Conjugation: Let z=x+iy be a complex number. Then, the complex…

Q: Find projvu.u = (0, −1, 2), v = (3, 2, 4)

A:

Q: calculate the linear combinations. u = (−3, 1, 4), v = (6, −2, 8)

A: We have been given the vectors u = (−3, 1, 4), v = (6, −2, 8).

Q: Let u= (-1, 1), v=(-3, 4), and W= (o, - 2). Find u - v + 4w

A:

Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

A:

Q: 4. What value/s of c will make the set S = {(3, 5,-2), (3, c,-25), (1,–4, 7)} dependent?

A:

Q: With U={1,2,3,.,9,10} and A={1,2,3,4,5), B={1,2,4,8}, C={1,2,3,5,7}, D={2,4,6,8}. Determine Au(BnC)…

A: Solution.

Q: Show that U(−f, p) = −L(f, p) and L(−f, p) = −U(f,p)

A:

Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

A:

Q: : let u (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v + 2w equal %3D (7, 0, 1) O None O…

A: Calculate u-v+2w:  u-v+2w=1,2,3-2,2,-1+24,0,-4                  =1-2+2·4,2-2+2·0,3--1+2·-4…

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v (1,-1, 3), and w= (3, 2, 5). (a)…

A: (b) ( 6, 11 , 6 )   We have to write it as linear combinations of (2 , 1 ,4 ) , (1, -1, 3 ) and (3…

Q: Let u = (1, 2, 3) and v = (1, 2, -1). Find u- – u. v and v U - V = V - U =

A: Given u = (1,2,3) and v = (1,2,-1)

Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

A:

Q: Let A, BCR x R defined by A= {{n,m)|n, m € N, 0 < 2m(n + 1) – 3 < 5}, and B = {(1,1), (1,2), (2, 1),…

A:

Q: Let C be the line segment joining M(-1,3,4) to O(0,0,0) and C' be the line segment joining O(0,0,0)…

A:

Q: Suppose ū (5, 3, 0) and v = (3, 1, –1). The projection of ū along ở is

A:

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v= (1,–1, 3), and w= (3, 2, 5).…

A: The given vectors are:u=2, 1, 4, v=1, -1, 3, w=3, 2, 5

Q: If U(x,y)=In(x²-y³) then U+Uyy= ....... ....

A: The solution is given as

Q: Let a = (- 4, 3, – 2) and b = (- 1, 2, – 3). Find the projection of b onto ä. proją b > V

A: Answer:Given a→=&lt;-4,3,-2&gt;b→=&lt;-1,2,-3&gt;projection b→ onto a→ is given…

Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: Let S={(x,y)∈N×N|(2−x)(2−y)<2(4−x−y)}.Prove that S=TS=T, where T={(1,1),(1,2),(2,1),(1,3),(3,1)}

A:

Q: and u = (1,0, 1) at P(1, 1, 1).

A:

Q: U is a neighborhood of x0 and U ⊂ V, The V is a neighborhood of x0. (2) If U1 ...., U2 are…

A: Solution ::

Q: let u=(8,0,-8) v=(8,3,16) find Il v||

A: ||v||=√329

Q: Compute u + v, 2u – v, 3u – 2v, and 0 – 3v if (a) u =| 2 3 2 (b) u= = -3 (c) u = 1 4

A: (a) Consider the given matrices, u=123 and v=201 now, use the matrices addition property,…

Q: Let Flx,4z)=xi-zsinluzljtusinlyalk. Colculote é Fdr, where cis a path from A:10,0,1) +o B-13,1,2)

A:

Q: If u = [3, - 1] and v = [1,4],compute and draw u + v.

A:

Q: and y If a = -, then æ =

A: The value of angle is  α =-π3 To evaluate : the terminal point Px,y on unit circle.

Q: Suppose u, VE Vand ||u|| < 1 and ||v|| < 1 . Prove it: V1- ||u||?/1- ||u||2 <1- (u, v)|

A: Suppose u, v∈V and u≤1 and v≤1 We have to prove that 1-u21-v2≤1-u,v Here, we have  u≤1 and v≤1 Also,…

Q: Show the Complete S lu fwn i 3 ナ *

A:

Q: Let u= (4,15) and v=(2,-3,1). Then (2u+v).(u-3v) is equal to:

A: Given,    u=4, 1, 5, and v=2, -3, 1

Q: let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) : then u - v and v u equal v = (0,1, 4) V - u =…

A: u = ( 1, 2, 3 ) v = ( 2, 2, -1 ) w = ( 4, 0, -4 )

Q: Let u and v be u = [3,0,3] and v = [1,1,4]. Verify that: |u x vl? = |u]?\v]? – (u · v)²

A:

Q: Let u = (-1,3)and v = (1, –1), then proj,u is: ) (1,1) ) (2,2) O (-1,1)

A: the projection of u onto v is given by projvu=u.vv2v substitute the values

Q: Suppose ū = (1,-5, 1) and ī = (0, –5, 3). Then: u + v= и — 0% U - u= 5u= 2u – T0=

A:

Q: 8. Express the following as linear combinations of u= (2, 1, 4), v= (1,–1, 3), and w (3, 2, 5). (a)…

A: Linear combination :  A vector v∈V(F) is said to be a linear combination of the vectors v1,v2,...,vn…

Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance…

Q: 17

A:

Q: Let ä = (4, – 4, 0) and b = (- 1, 2, - 4). Find the projection of b onto a. proj, b = <

A: