Compute the flux of the vector field (25,- y2), out of the rectangle with vertices (0,0), (3,0), (3,5), and (0,5) Calculator Check Answer

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Q: Find a nonzero vector c in R^3 such that Ax=c is consistent.   A = 2 1 1 0 -2 -2 2 4 0 -1 3 0

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Q: Let a = (-4, 3, 4) and b = (-5, 2, 3), then find the decomposition a = a +a of a with respect to b a…

A: Ggg

Q: Let V be the vector space V = Span(e^(2x) , e^(3x) ). Given are the ordend basis defined by: B =…

A: This is a problem of Vector Analysis. One can take it as a problem of Line

Q: Prove that the vectors (a1, a2), (B₁, B₂) = R× Rare linearly dependent iff α₁ß2 - α2ß₁ = 0.

A: The given vectors are  and We have to show that the given vector is linearly dependent if

Q: -3 Let v1 = ----- -2 v2 = 1 v3 = -6 3 -3 v3}. Find the basis for H. and the H = span{v1, v2,

A: we are given three vectors  v1=-3-2-3,v2=-21-2,v3=1-63 we have to find the basis for H.

Q: Suppose A is a 2x2 invertible Martix. Is the following statement true or false?  For each vector b,…

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Q: Which matrix could be used to rotate a vector 64 degrees clockwise about the origin? cos (-64) sin…

A: we have to find  matrix could be used to rotate a vector 64 degrees clockwise about the origin.

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Q: O Find a vector orthogonal to both (-2, 1, 0) and to (0, 1, –5) of the form

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Q: How two-dimensional vector is determined?

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Q: Find a vector in 3d space whose magnitude is 4 and whose components have the largest possible sum

A: Find a vector in 3D space whose magnitude is 4 and whose components have the largest possible sum.…

Q: Let i, j and k denote the standard basis vectors of R3 Let ü =i+ 25 –k and o = -i-+ 3k. a) Calculate…

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Q: Let F = Z3 be the field with three elements. Which of the following vectors from the vector space…

A: The correct option is:c) (2,0,2)Explanation:

Q: Ui3(12,7,3.2) u2=( 13.5.3:3) uz= 14=(1,4,697) us%=15,13,13,25, 19) Find a basis of w? consisting of…

A: Full and detailed solution is given below. Dim(w) is number of elements in basis(w)

Q: is The rectangular coordinates for the polar points 4, 2

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Q: Find a non-zero vector perpendicular to

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Q: Determine whether vectors (-1,0,1,2),(1,0,-3,0),(1,0,0,0),(1,5,-1,-2) from the basis for R^4 Please…

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Q: 3) Let C be a basis that contains vectors (−2 + 1x + 1x2 + (−1) x3), (1 + (−2) x + 4x2 + 2x3), (−2 +…

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Q: The vectors (attached) form a basis of R^3 (R = Real numbers) if and only if k does not equal blank

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Q: Let $K$ is a horizontal shear, next draw a vector $\vec{x}=\left[\begin{array}{l}x_1 \\…

A: Let be the transfomation representing vertical shear of the vector  .Then we have The above can be…

Q: Use matrix multiplication to find the orthogonal projection of (-8, 5, 7) on the xy-plane. Let T…

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Q: Determine the following three vectors {, , } forms a basis for R^3. Expalain your answer.

A: Answer  Given  <2,1,0> , <4,2,2> and <-2,-1,3>  Let check whether they are…

Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

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Q: The vector (0,0,0) and the vector (0,0,0,0,0) a equal. are True False

A: False

Q: 4. Let V = R³ and let T: V →V be the linear map given by T(r, y, 2) = (2x + z, y – x+ 2, 32) (you do…

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