7. Which of the following are linear combinations of = (0, -2, 2) and v = (1, 3, –1)? (a) (2, 2, 2) (b) (0, 4, 5) (c) (0,0,0)

Q: ds if s = Find dt 7t + 3 ds dt II

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

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Q: 4.5 Compute the value of G dL for G 2ya, with A(1,-1, 2) and P(2, 1, 2) using the path: (a)…

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

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Q: Let a=⟨3,−5,5⟩ and b=⟨−1,5,2⟩ Find the component of b onto a

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Q: 4 as a linear combination of v,, V2, V3 when the coefficient of v3 is 1. 14 Write -4 Ov, + - (OV2+v3…

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Q: Express the following as a linear combination of u = (2, 1, 3), v = (1, -1, 4) and w = (3, 2, 6).…

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Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, 2, -5). Find z, where 2u + v – w + 3z = 0. Z =

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Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: Let C z-1=3 and1 = §, = dz. Then

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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: Express the following as a linear combination of u = (2, 1, 6), v = (1, -1, 4) and w = (10, 2, 6).…

A: We have to find out

Q: (1 2 3 4 5 6),y: D. Let α= (1 2 3 4 5 (3 1 4 5 6 (1 2 3 4 5 Y = (5 2 4 3 Compute the following: | 1.…

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Q: Express the following as a linear combination of u =(3, 1, 7), v = (1, -1, 4) and w= (18, 7, 8).…

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

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Q: Which of the following v will give a linear combination for set S = {(1, 2, -2), (2, –1, 1)}? %3D a.…

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Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (4, 0, −3, 5), v = (0, 2, 5, 4)

A: Given a vectors,

Q: Express the following as a linear combination of u= (3, 1, 7), v = (1, -1, 7) and w = (6, 3, 6).…

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Q: What is the normal line to the line that passes through (-8 , 0) and (-1, 3) 3x-7y = - 24 O (x/8) +…

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Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

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

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Q: Express the following as a linear combination of u = (3, 1, 5), v = (1, -1, 4) and w (5, 7, 6). (14,…

A: Answer

Q: What is the normal line to the line that (passes through (8, 0) and (-1,3 3x - 7y = - 24 O (x/8) +…

A: We will first find the slope of the line that passes through the two given points. The slope of the…

Q: 5. In each of the following cases, either express p as a linear combination of u, v, w or explain…

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Q: What is the normal line to the line that passes through (8 , 0) and (-1, 3) 3x - 7y = - 24 (x/8) +…

A: We are given the points: 8,0 and (-1,3) Slope of the line: 3-0-1-8=-13 Equation of line that passes…

Q: 2 Let aj 3 (a) Write b as a linear combination of a and a2.

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Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

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Q: Can we write v = (1,5,4) as a linear combination of u = (1,3, -2), uz = (2,7,-1), ug = (1,6,7) ?

A: If there exist a,b,c∈ℝ such that au1+bu2+cu3=v then we can say  v as a linear combination of u1,u2…

Q: What is the normal line to the line that passes through (8 , 0) and (-1, 3) 3x - 7y = - 24 O (x/8) +…

A: we have to find out the equation of normal line  given points are a(8,0)  b(-1,3) of simple equation

Q: 9. Using the fact that ||u|| = 2, ||v|| = 3, and u x v = (-1,5, 1), find u · v.

A: You have asked multiple  questions and not mentioned  which questions answered you need , so…

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 6) and w = (1, 6, 7).…

A: The objective is to find (7, 10,7) as linear combination of u, v, w.

Q: The dependent variable in aUgy = BUyy = k is/are: °U a, B o x, Y

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Q: -2 -24 Let aj = 3 a2 = -7 and b 30 -5 17 -65 Is ba linear combination of a¡ and a2 ?

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Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 5) and w = (4, 3, 8).…

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Q: -2 Let m be a real number and M = {(" ,). )}: 9- If M is a linearly dependent set of M2,2 then m=1…

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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: 8 - If w = is a linear combination of v = and u = then r and s must be, respectively,

A: w is the linear combination of u and v then we can write  w= au + bv  Where a and b is the scalar

Q: 4. (a) Given two points (x1, y1) and ( x2,y2 ), Derive the linear interpolation formula in terms of…

A: Two points are (x1,y1) and (x2,y2)

Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

Q: 15. In AXYZ, if ZX = Z , XY = 13r - 21, YZ = 8r – 6, and XZ = x + 4, find x and the measure of each…

A: Solve 15

Q: Express the following as a linear combination of u= (4, 1, 6), v = (1, -1, 5) and w = (1,3,7). (10,…

A: We need to express as linear vector.

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −2, 4), v = (1, 5, −3)

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Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (2, 6, 4).…

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Q: Which of the following are linear combinations of u = (0, – 2, 2) and v= (1, 3, – 1)? (a) (2,2,2)…

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Q: Let a = (– 1, 5, 0) and b = (3,0, – 1). Find the component of b onto a.

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Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

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Q: Express the following as a linear combination of u = (5, 1, 6), v = (1, -1, 5) and w = = (1, 5, 6).…

A: The given vectors are  u=(5,1,6)v=(1,-1,5)w=(1,5,6) We have to write the given vectors in linear…

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

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