Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.) v = (0, 6, 4, 0), u, - (1, 1, 2, 2), u, - (2, 3, 5, 6), uz - (-3, 1, -4, 2) + + 3

Q: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,…

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Q: Determine if b is a linear combination of a1, a2, and a3 a1 a2 a3 b 1 -2 -6 11 0 3 7 -5 1…

A: It is given that b is a linear combination of a1, a2, and a3.

Q: Write v as a linear combination of u,, u,, and u,, if possible. (Enter your answer in terms of u,,…

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Q: Calculate the component of v = 〈− 2, 1/2 , 3〉along w =〈1, 2, 2〉.

A: Given: Vector, v=-2,12,3 Vector, w=1,2,2

Q: {(1, 2, 3),(3, 2, 1),(0, 0, 1)}. Show that B is linearly independent and spans R3.

A: Linear span: Let V represent a vector space, and S=(v1,v2,...,vn) represent a subset of V. If every…

Q: Let ā = (- 2, 4, 1) and b = (- 1, 5, k). Find k so that ā and b will be orthogonal. k =

A: Ans :  we know that two vectors are orthogonal if their dot product is equal to zero.

Q: Determine whether u and v are orthogonal, parallel, or neither.

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Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: ит 3 (1,-1,1) из — (2, 1, —2) из — (10, 2, —6). %3D Is the set {u1, u2, U3} linearly dependent or…

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Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

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Q: Write v as a linear combination of u,, u2, and uz, if possible. (Enter your answer in terms of u,,…

A: the given vectors v=-1, 7, 2, u1=2,1,5, u2=3,-1,5, u3=-2,1,-3

Q: {(9,5,6), (3,5,6), (0,0,2), (4,6,0)} is linearly dependent in R' ulgn ihi O

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Q: write v as a linear combination of u,, u„ and u̟, if possible. Uz3 47. v = (10, 1, 4), u, = (2, 3,…

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Q: Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: a) Write w = (−1, 1, 19) as a linear combination of v 1 = (1, −1, 0), v 2 = (3, 2, 1) and v 3 = (0,…

A: In this question we will use basic of algebra i.e first we will assume arbitrary constants a, b, c…

Q: In Exercises 47-50, write v as a linear combination of u, u,, and u, if possible. 47. u, = (2, 3,…

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Q: Write b as a linear combination of the vectors v1, v2, and v3,  where: (view attachment)   Set up…

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Q: Write v as a linear combination of u1, U2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: (a) Determine if u̟ and u2 are linearly dependent or independent. (b) Determine if u1, u2 and uz are…

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Q: . v=(0,5,3,0), u1=(1,1,2,2), u2=(2,3,5,6), u3=(-3,1,-4,2)

A: NOTE: As per Bartleby rules only one question will be answered. Please upload others separately.…

Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: Find u · v, u· u, ||v||², (u · v)v, and u (3v). u = (2, 10), v = (-3, 2) %3D (a) U V (b) U U (c)…

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Q: Find u - v, 2(u + 3v), and 2v - u. = (6, 0, -4, 8), v = (0, 2, 8, 6) %3D %3D (a) u - v = (b) 2(u +…

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Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

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Q: Determine whether u and v are orthogonal, parallel, or neither.

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Q: Exercise:- Let A = -2 -2 and us U: Find L,U s.t A: LU

A: The given matrix is: A=253-1467163-23214-2

Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (3, 0, −6), u1 = (1, −1, 2), u2…

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Q: Determine if u = (4,3) and v = (1/2 , - 2/3) are orthogonal, parallel or neither.

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Q: Let u = , v = and w = . Now, i = is a linear combination of ü, v and w. That is, i = aju + azv +…

A: ANSWER:

Q: Plot the points in same three-dimensional coordinate system and determine whether u and v are…

A: The graph is shown below:

Q: let u = <1, 2, 2> , v = <1, -1, -1>, w = <1, 3, -1> , and z = <2, 11, 8>.…

A: Given: u1 is parallel to u, u2 is parallel to v, and u3 is parallel to w.So, u1= au , u2=bv and…

Q: write v as a linear combination of u1, u2, u3, if possible. v=(2,5,-4,0), u1=(1,3,2,1),…

A: Consider the vector v=2,5,-4,0. We have to express the vector v as a linear combination of the…

Q: Find u - v, 2(u + 3v), and 2v - u. | u = (4, 0, -2, 5), v = (0, 6, 5, 4) %3D (a) u – v = (b) 2(u +…

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Q: Find ||u||, ||v||, and ||u + v||. (1, -2, 0, 2), v = (0, 3, 2, 1) u = (a) ||u|| (b) ||v|| (c) ||u +…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (−1, 7, 2), u1 = (1, 3, 5), u2 =…

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Q: Find u · v, u · u, || V||^2, ( u • u )v, and u • (3v). u= , v= (a) u•v   (b) u•u   (c) ||v||^2…

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Q: {(9,5,6), (3,5,6), (0,0,2), (4,6,0)} is linearly dependent in R ulgn O İhi O

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Q: Find the component of the U along V U=(8,2), v=(3,-4)

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Q: Solve for w where u (0,-1, 1, 1) and v (2, 3, 0, -1). %3D %3D w + 2v = -4u W =

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Q: Let u1 = (4, -2, 1), u2 = (6,3,2) , u3 = (-2,-1,3) find the linear combination v= u1 - 3u2+ 4u3

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Q: Find u × v, v × u, and v × v. u = v =

A: The two vectors a→=⟨a1,a2,a3⟩and b→=⟨b1,b2,b3⟩, then the cross product is given by the formula,…

Q: Let u = (1,4, 5), v = (-8, 2, 0), w = (3, 12, 17), which ones are orthogonal? u and v v and w u and…

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Q: Determine whether u and v are orthogonal, parallel, or neither.

A: Given vectors are u=2,18 and v=32,-16 Given vectors can be written as: u=2i+18j and v=32i-16j We…

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (7, 2, 5, −3), u1 = (2, 1, 1, 2),…

A: If it is possible to write v as a linear combination of u1, u2, and u3, we must be able to find…

Q: Write v as a linear combination of u1, u2, and u3, if possible. 1. u1=(1,1,2,2), u2=(2,3,5,6),…

A: Given: v=0,5,3,0 , u1=1,1,2,2, u2=2,3,5,6 , u3=-3,1,-4,2 To determine: vas a linear combination of…

Q: Write v as a linear combination of u,, u,2, and u,, if possible. (Enter your answer in terms of u,,…

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Q: write v as a linear combination of u1, u2, u3, if possible. v=(0,5,3,0), u1=(1,1,2,2),…

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Q: Find u x v, v x u, and v x v. u = (1, -1, -4) v = (7, -7, -9) %3D (a) ux v (b) v x u (c) v x v X V

A: Here we will find step by step, (1) u x v (2) v x u (3) v x v

Q: Determine whether u and v are orthogonal, parallel, or neither u = ⟨7, −2, 3⟩, v = ⟨−1, 4, 5⟩

A: Given: u=⟨7,−2, 3⟩, v=⟨−1, 4, 5⟩

Q: Let u = (-3, 1, 7), v = (3,0, -6), and w = (6, -1, –3) Find the components of v – w. (-4, 1, 3) V -…

A: Given u = (- 3, 1, 7), v = (3, 0, - 6) , and w = (6, - 1, - 3) Find the components of v — w.