Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) = (3, -16, -9, -8), u, = (1, -3, 1, 1), u2 = (-1, 2, 3, 2), uz = (0, -2, -2, -2) 11 39 Ju: + ( - 3 Juz + ( 10 Ju3 V =

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 whether the set S=(U,V,W) are linearly independent or linearly dependent. Where, U=…

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Q: If kk is a real number, then the vectors (1,k),(k,k+2) are linearly independent precisely when…

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Q: Determine the value of k so that ū = [- 5, k, 3] and i [1,2, – 7] are orthogonal. %3D

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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: Let u = (1,2,3) and v = (2a,2a,a^2) Which of the following values of a ensures thatu and v are…

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

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Q: Q2: Use vector to check whether the points A (4,3,2), B (4,3,0), C (4,0,0), and D (4,0,2) are…

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Q: Find (a) * Find ux v, where: (a) u=(1,2,3), v=(4, 5, 6); (b) u=(-4,7,3), v = (6, —-5, 2). (a) [-3,…

A: To find the cross product of the given vectors.

Q: Let u= (1,1,−2) and v= (a,−1,2). For what values of a are u and v orthogonal?

A: Two vectors are said to be orthogonal to each other if their dot product is zero. we are given u=…

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 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: Which vector is collinear with [2, -3]? [2, -6] O [-4, 6] O(-2, -3] O [12, 18]

A: We have to find the vector

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

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Q: Determine whether u and v are orthogonal, parallel, or neither u = ⟨−3, 0, 9⟩, v = ⟨1, 0, −3⟩

A: Consider the following vectors: u=-3,0,9v=1,0,-3 u¯·v¯=-3×1+0×0+9×-3=-3-27=-30 The two vectors are…

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (8, -2, 3) v = (-1, 2, 4) %3D O…

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Q: Let a = (2, – 3, – 1) and b = (– 5, – 1, k). %3D %3D - Find k so that a and b will be orthogonal.…

A: Since we have been given that a⇀ = <2, -3, -1> and b⇀ = <-5, -1, k>Our aim is to find…

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

A:

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

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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: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) v-(-+) O parallel O…

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Q: If k is a real number, then the vectors (1,k),(k,7k+8) are linearly independent precisely when k ≠…

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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: 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: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

A:

Q: Determine

A: We use definition of linearly independent set.

Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

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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, 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: Determine whether u and v are orthogonal, parallel, or neither.u = (0, 3, −4), v = (1, −8, −6)

A: u = (0, 3, −4), v = (1, −8, −6) We need to determine whether u and v are orthogonal, parallel, or…

Q: Find ||u||, ||v||, u-v, and d(u, v). u = (-1, 3), v = (3, 4) (a) ||u|| (b) ||v| (c) u. V (d) d(u, v)

A: We have to find u , v , u·v , and d(u, v) where u=(-1, 3) and v=(3, 4) .

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

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (9, -5, 4) v = (-1, 3, 6) %3D O…

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Q: 1 u = ----- (1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V 6 1 - (1,-1, 0, 0) V2

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

A: Given: u=<2,-3,1>, v=<-1,-1,-1> To determine: Determine whether u and v are orthogonal,…

Q: Determine whether u and v are orthogonal, parallel, or neither. = (6, -6, 3) v = (-1, 2, 6) O…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Let u4 be a linear combination of {u1, u2, u3 }. Select the best statement. O A. span{u1, u2, U3} =…

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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: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 27) (3 -) v = O parallel O…

A: u=2,27 v=32,-19

Q: (1, 2), (2, 3), (6, 0) are linearly independent

A: If one of the vector can be  written as the linear combination of remains vectors then these are…

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⟩