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 = (2, 0, – 1) utv = (1, 2, 4 ) v - u = (-1,0,4 ) | (None

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y). =1 a(x,y)'a(u,v)

A: Given x=u1−v and y=uv We have to verify ∂u,v∂x,y⋅∂x,y∂u,v=1 Solve x=u1−v and y=uv for u and v, we…

Q: If u = 2i - 3j + k and v = i + j - k, then u x v is:   (2, 5, 3) (2, 5, -3) (2, 3, 5) (2, -3, -5)…

A:

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

A:

Q: Let U​ = {w, x, y, z, 1, 2, 3, 4, 5​}, J​ =​{w, y, z, 3, 4, 5​} ​, K​ =​{w, x, 2, 3​}, and L​ =​{w,…

A: It is given that, L={w,x,z,1,4,5} and K={w,x,2,3}.

Q: U = (2,2,2) and v= ) (5, 4, 2 Th an Suppou se %3D ū t V = %3D 3 ū 13

A:

Q: Prove that u, v, w ∈ R3     and [ u x v, v x w, w x u] = [ u, v, w]2

A:

Q: find g(u(x,y,z), v(x,y,z), w(x,y,z)) if g(x,y,z)=zsinxy, u(x,y,z)=x2z3, v(x,y,z)=πxyz, and…

A: Given, g(x,y,z)=zsinxyu(x,y,z)=x2z3v(x,y,z)=πxyzw(x,y,z)=xyz     Find g(u(x,y,z),v(x,y,z),w(x,y,z)):

Q: If G (x, y, z) = curlF (x, y, z), where - F(x, y, z) = (y — z, z — x, x - y), then div(curlG (x, y,…

A:

Q: 6. Let u = (1, 2, –3) and v = (4,0, –2). Compute u x v. 7. Let u = (2, 4, -4) and v = (1, –3, 1).…

A: Used vector cross product

Q: 3. Find the value(s) of h such that b is a linear combination of and a3. -()-) -() --() ај, а2, 5 aj…

A:

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: of Then x y

A:

Q: Let u = (0, –2, 2). v= (1, 3, –1) and w = (2, 2,2). If a = (0,-2,2), then I = au + Bv + yw. O A. y =…

A:

Q: Example 1:- if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)-1 a(x, y) a(u,v)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)_1 a(x,y) a(u,v)

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Q: Let W(s,t) F(u(s, t), v(s, t)) where u(1,0)-4, u,(1,0) 3, u(1,0)- 5 v(1,0) 7, v.(1,0)=-3, v(1,0)--6…

A:

Q: s= {(1,3,2),(-4,1,1),(-2,7,-3),(2,1,1)} and let U=span(S). what is dim U

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Q: Prove u + v = (u + v)(u* – u³v+ u?v² – uv³ + v^). + u-v - U (u+ v) (u+ – u³v+ u²,2 – uv3 + v^) Enter…

A: We have to prove: u5+v5=u+vu4-u3v+u2v2-uv3+v4

Q: Given u = (0,1, -1,2) and v = (1,1,3,0) find ||u + v||

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Q: ) IH U = (1,2,3, - - 0), A = (2,4,6 .20), B = (1,3,5 . - 19) Verify Demargans laws

A: Explanation of the solution is given below...

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: reflection across the х-ахis U A) T(0, –4), U(0, 1), v(1, 1), w(4, –3) C) U(1, 3), v(0, 3), w(-3,…

A: We have to find reflection point

Q: Is the set X is linearly dependent or independent X = {(1,0,1,0), (0,3,0,1), (1,1,2,2), (3,4,1, −2)}

A:

Q: 10. Find the generalized Hukuhara difference u OgH v, where u = v = (1,3, 5). Does their Hukuhara…

A: Given -  u = (1, 2, 3)  v = (1, 3, 5) Generalized Hukuhara difference (gH difference) will be -

Q: Find u - (v x w). u = (10, 0, 0) v= (1, 1, 1) w = (0, 10, 10) V

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Q: Find all (a, b, c, d) in R* such that the given set is orthogonal. What is the value for a? {(1, 2,…

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Q: azu Q5) Find u such that ax2 with u(x,0) = 0.5x2, u(x, 10) = 0, u(0, y) = 0, = 0 %3D u(20, y) = 1…

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Q: If G (x, y, z) = curlF (x, y, z), where F (x, y, z) = (y – z, z – x, x – y), then div(curlG (x, y,…

A: given statement if false.

Q: Find w such that 2u + v − 3w = 0. u = (5, 0, 2, 7), v = (4, 1, −8, −3) w =

A:

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)

A:

Q: 26. Let u = (2,3,1), v = (1,3,0), and w = (2,23,3). Since (1\2)u – (2\3)v – (1\6)w = (0,0, 0), can…

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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: In Exercises 61–64, find an equation for the level surface of the function through the given point.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=

A: Given that, u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v

Q: vektor u = (1,0,0) and v = (0,12,0) find u x v and ||u x v||

A: vektor u = (1,0,0) and v = (0,12,0) find u x v and ||u x v||

Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: Find fy and f, and evaluate each at the given point. (x, y, 2) = x²y³ + 2xyz – 6yz, (-2, 1, 2) ,(X,…

A: Given :- f(x, y, z) = x2 y3 +2xyz-6yz  To find:- fx(x, y, z) fy(x, y,z)  fz (x, y, z)  fx(-2,1,2)…

Q: Describe conditions on v = [a, b, c]² such that u x v = 0 where u = [1, 2, 3]ª and 0 is the

A: Vector multiplication problem....

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (−1, −1, 1), v = (−1, 1, −1)

A:

Q: Let u = (0, – 4,0) and v = (0,2,0). Compute |uxv. Then sketch u, v, and uxv. |uxv| =D

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Q: Is it true that if x is orthogonal to v and w, then x is also orthogonal to v − w. Provide example

A: Consider that x is orthogonal to v and w To check is it true that x is also orthogonal to v − w.   a…

Q: Find w such that 2u + v u 3w = 0. (0, 2, 7, 5), v = (-8, 4, -3, 1) 1 -- (-) W = 3 -

A:

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W,(1,0) WŁ(1,0) = u(1,0) = -1, u,(1, 0) = −5, ut(1,0) = -7…

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Q: K=(0,20) ) Show (K,0,0) field. 12) Show (2,t,)(K,Ð ¸º) Hlint: : fi R ->K, fa)=e*]

A: As per our guidelines I am only solving 1st. For 2nd kindly resubmit the question mentioning 2nd.

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: Let u=0,3,3 and v=32,3,3. Compute u×v. Then sketch u​, v​, and u×v.

A:

Q: Let's Apply u = {p, a, t, h, f, i,n, d, e,r} Given X = {p, a, n, t, h, e,r} Y = {f,a, t, h, e,r} Let…

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Q: 40. Let. u₁=(3, 1, 1), u₂ = (-1, 2, 1), and u3 = (-1/2,-2, 7/2). Verify {u₁, U2, U3} is an…

A: A set of vectors u1, u2, β3, ..., un is said to be orthogonal if ui·uj = 0 [ dot product ]  whenever…

Q: Find u. (v x w). (6, 6, 6) (1, 7, 0) - (0, 0, 1) > 3

A: Given that,u=6,6,6v=1,7,0w=0,0,1

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.