5. Let u= 2 and v= 2 find a and b such that au+by = 0 3

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A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

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Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

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Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

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Q: Let u = , v = , and w = . find uw

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Q: EXER 3.2 - LINEAR ALGEBRA Write v =(4,4,5) as a linear combination of x=(1,2,3), y =(-2,0,1) and z =…

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Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Show that ePt cos qt and ePt sin qt are linearly independent.

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Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

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Q: 1 = 4y-24 ア-6 9.

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Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: random variables X and Y have a joint probability density function given by , y) = way, 0 < x < 3…

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Q: Let v = 2i - 5j and w = -4i + 3j. Find v . w

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Q: 7. (50 u) du + (3v - 7u) dv 0. ANS. (3v +u) = c(v u).

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Q: Solve Using the Quadratic Formula

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Q: If 7-4/3 = Vx-Vy, determine the values of x and y. %3D

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Q: Q.4 Find values of and dy at the given point. xy + yze + 2xlnx-2y-3zln2 = 0, (1, In2, In3)

A: Given equation is xy+yzez+2xlnx-2y-3zln2=0. To find: ∂z∂x and ∂z∂y. Solution: Partial derivative of…

Q: Find the magnitude of u+o if ū = (2,3,-6) and v = t- 21- k. .

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