Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (11, -8, 20) Z = + 2, v- (0. -4) 27 (b) 1 8, V = s, + V = 2, (c) W = (4, –7, 13) W = + (d) u = (5, 1, –1) u = 52 +

Q: Find 2u, -3v, u + v, and 3u – 4v for the given vectors u and v. u = (-8, 9), (8, -9) v = 2u = -3v =…

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Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

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Q: Find the initial point of the vector that is equivalent to u = (2, 2, 4) and whose terminal point is…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: A vector u can be written as linear combination of the set of vectors S={v,w} iff there exist…

Q: Which option is the right? Two vectors are linearly dependent if: -They have the same address -They…

A: Two vector are linearly dependent if in linear combination of v1 and v2 , not all scalar are zero

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Let v1 = [1, 1, 0, 2], v2 = [0, 1, 2, 3], v3 = [-1, 0, 2, 1), V4 = [ 3, 1, -4, 0] and b = [4, 3, -2,…

A: Given

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Determine if the vectors , and are linearly independent.

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: As per bartleby guidelines we only give first three questions answers.

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

A: a) Given:     w=1,1,5, v1=7,7,7      v2=2,5,3, v3=4,1,-1 w=i^+j^+5k^, v1=7i^+7j^+7k^…

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

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Q: 2) Determine whether the (7, 9, 15) vector is a linear combination of the (1,1 ,2 ),( 1,2,1 ).( 2,3…

A: see 2nd and 3rd step.

Q: и, %3 (1,2,1, — 4,1), и, 3 (1,2, —1,2,1), и, — (2,4,1, —5,0), и, — (1,2,3,—10, 1)

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Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. = (-8, 9), v= (8, -2) u = 2u = -3v = u…

A: Given u = {-8, 9} and v = {8, -2}

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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

Q: Given 2 vectors å = (-2,0,–1), b = (-1,3,1). Which vector is perpendicula å + b and å – b. - O…

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Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the…

A: A-9,-5,5 and B-4,-12,8

Q: Select all vectors parallel to the vector (1,-3, 5). O (2, -6, 10) 0(-1,3,6) - 15

A: here to we need to find the parallel vectorsto the given vector from the given options. the solution…

Q: Let v1 = [1, 1, 0, 2], v2 = [0, 1, 2, 3], V3 = [-1, 0, 2, 1], V4 = [ 3, 1, -4, O] and b = [4, 3, -2,…

A: According to the given information, it is required to find the solutions to the vector equation.

Q: Which two vectors are orthogonal if given a =,b = and c =

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Q: Determine the tail of the vector whose head is (3, −2, 2).

A: We have to determine the tail of the vector whose head is 3, -2, 2 and position vector is: 24-1 We…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Consider c1, c2 are constants such that z=c1s1+c2s2. Substitute the values of z, s1, s2 in the…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Linear Combination

Q: If the vector v has initial point P, what is its terminal point? V3 (23, -5, 13), Р(-6, 4, 2) (х, у,…

A: vector= terminal point - initial point P= initial point=(-6,4,2) v=(23,-5,13) terminal point =…

Q: each vector as a linear combination of the vectors in S. (If not possible, en s = {(6, -7, 8, 6),…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: 1. Find the components of the vector. (a) (b) (1, 5) (0, 0, 4). (4, 1) (2, 3, 0)

A: The components of a vector

Q: (a) Let w =(-5,-17,7), v 1=(0,-1,1), v² 2=(0,-2,1), v 3=(1,2,-1). If possible, express w as a linear…

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Q: Mount Holyoke College, Massachusetts, USA - Can the vector (3, 1, 1) be expressed as a linear…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7) Determine whether the sets of vectors are linearly independent. а) {(-1, 2, 4)), (5, -10, -20);…

A: According to Bartleby guidelines I am supposed to do only first two questions . Kindly post next one…

Q: In each part, determine whether the vectors are linearly independent or are linearly dependent in/…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: a. Write the vector (-17, –18, 28) as a linear combination of a1 = (-4, -1,5), a2 = (-2, –3, 1) and…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S=2, -1, 3, 5, 0, 4       Solution:- Any vector as a linear combination of vectors S1=2, -1, 3…

Q: Show that the vectors V, =(1, 1, 2, 4 ), V2 = ( 2, -1, -5, 2 ), V3 = (1, -1, -4, 0 ) and V, =(2, 1,…

A: Sind the determinant of the matrix whose rows are given vectors

Q: 24. Write a vector (-3, 22, -3) as a linear combination of the vectors (-1, 2, 3) and (0, 4, -3).

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Which of the following are orthogonal sets of vectors? (a){(1, -1, 2),(0, 2, -1),(-1, 1, 1)}…

A: The sets of vectors u, v, w are orthogonal if u·v=v·w=u·w=0. Let two vectors be defined as…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given: S=2, -1, 3, 5, 0, 4 And the vectors: a z=5, -5, 11b v=13, -14, 434c w=3, -9, 15d u=1, 1, -1…

Q: Write the vector v= (5,-5,4) Linear combination of the basis vectors V1(3,0,-6) V2(-4,1,7) and…

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