Compute the flux of vector field V = .2 x +y2 x +y2 across the surface of the ellipsoid x2 y?, z2 + 1 a? b2 c2 oriented by the exterior normal. Select one: а. 4πο b. C. 3πC d. 2 πC e. Non of them

Q: Question: Show that span {(2,1,0),(1,-1,2),(0,3,4)} = 2x-4y- 3z.

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Q: Let u, v, w E R^3 and r,s E R. For each of the following expressions, indicate the nature of the…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Prove that A 12 is diagonalizable. -.

A: step 2 complete solution

Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: Determine the imaginary part

A: In this question, we have to find the imaginary part of the given complex number.

Q: Using the definition, argue that the vectors are linearly independent. -- () --- () b = 2 0 1

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Q: Vector Calculus Given, A = a zi – 23² ²j+ æy} sÎn¢ divAat the point (1, –1, 1) -

A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

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Q: Tensorial Calculus If (Ui) and (Vi)  are contravariant vectors, check that (2Ui+3Vi) is also…

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Q: (d) s(v+ww) × (rv)

A: Given that u→,v→,w→∈ℝ3 and r ,s ∈ℝ.

Q: 1. Find the distance between the points (a) (4,-1,2,7) and (2,3,1,9); (-1,5,-3, 2, 4) and (2, 6, 2,…

A: Distance Formula d=∑cyclicv1-v22 As you have mentioned I need to answer 1(a) and 2(a)

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A: In this question, we have to explain an example of vector space. Vector space :  An Abelian group…

Q: how can one show that three vectors span R^3?

A:

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: (B) Show that the area of triangle is - ÁxB (Using Vector method)

A: Let, a parallelogram be:

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A: we need to explain the scaling of vector. and we  need to give an example. First let us define what…

Q: Referring to Example 6 on page 71 of the work suppose that (a, b) is the projection of the poi (-5,…

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Q: 9) (Section 9.4) Find the magnitude of vector u = -60i+11j

A: Given,   u = -60i+11jMagnitude of vector ; u=-602 + 112u = 3600+121  = 3721 =61

Q: Linear Algebra Determine the area of the parallelogram formed by the points (-3,1), (1,2), (2,-1),…

A: Let's find area of parallelogram.

Q: (2) Determine if the vectors are linear independent or linear dependent. Justify your answer. (a)…

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Q: What is the span of a zero vector? What is the span of a non-zero vector? Describe your answer…

A: The span of vectors are given as follows :

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Q: Exercise 5. A simple contour that is not closed can cross itself. * False O True

A: A contour is a piecewise smooth curve.

Q: > Evaluate [ ²(x² + y²) dx + (x + y)²dy C › C is the triangle with vertices (1,1), (2,2) and (1,3)

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Q: Find the distance between the point (3,11,-2) and the plane X t 2y

A: Explanation of the answer is as follows

Q: ector Operations) Given vectors =, √ = and =, show (√x) = ( x )

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Q: Show how to use Hausman Test B₁ B₂ under Ho Consistent, Efficient Consistent, less Efficient under…

A: The Hausman test is  used to decide whether the estimate of an unknown parameter is consistent or…