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) 7= (11, 8, 20) 52 (b) V = 23, 4 (c) w = (3, -9, 15) W = S, + (d) u = (8, 1, -1) S, + 52

Q: Consider A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. draw the vectors A, B, and C in…

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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: 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: Determine whether the set of vectors is linearly independent: {(1,0,1), (3,4,-3), (2,2,-1)}.

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: Determine if the vectors ? = (1,2) ? ? = (−2,1) are orthogonal

A: v1→=(1,2)v2→=(-2,1)Two vectors are orthogonal to each other if their dot product is…

Q: sketch the vectors AB and PÓ, and determine whether they are equivalent. А %3 (1,4), В %3 (-6, 3),…

A: Given points are: A=1,4 ; B=-6,3 ; P=1,4 ; Q=6,3 We have to determine whether the vectors AB→ and…

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

A: we have to find

Q: Find the components of the vector PP2. P1(4, 5, 5), P2( 7, 10, 7) PP2 =( i

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Q: Write the component form of a vector v with initial point P and terminal point Q. P(-1,-10), Q(-1,…

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

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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…

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

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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: 3. Write the vector (1, 1, 1) as a linear combination of a vector in the direction of (2, –2, 1) and…

A: We have, a→=(1, 1, 1) and u→=2,-2, 1 Let b→ is vector in the direction of u→=2,-2, 1 So, b→=λ2,-2, 1…

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: 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: Determine if the vectors vị = (1,2, 3), v2 = (1,-1,–3), v3 = (1, 1, 1) span R³.

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Q: Write the vector (7,8, –8) as a linear combination (if possible) as of the vectors (-1,1,2), (2,3,…

A: See answer below

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: 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 u =(2, 1, -1). Consider s1=2,-1,3,  s2=5,0,4.

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

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Q: 2. Write the vector v = (1,3,2) as a linear combination of vectors u = (1,2,1), %3D (2,6,5), uz =…

A: We have to write a vector v to a linear combination of the vectors u1, u2, u3

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

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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: 5. (a) Are the vectors (1,3, 2), (2, 1,3) and (3, 2, 1) linearly independent? (b) Are the vectors…

A: Explained below

Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers

Q: Determine if the vectors vị = (1, –1,3, –1), v2 = (1, –-1, 4, 2), v3 = (1, –1,5, 7) are linearly…

A: We have to determined the vectors v1=(1, -1, 3, -1), v2=(1, -1, 4, 2), v3=(1, -1, 5, 7) are linearly…

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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

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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: (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: Find the components of the vector P1P2. (a) P1(3, 5, 7), P2(2, 8, 1) (b) P1(7,−2, -8), P2(0, 0,5)…

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Q: Write the vector (7, 8, -8) as a linear combination (if possible) as of the vectors (-1, 1, 2), (2,…

A: Let the linear combination be, x-112+y23-2=78-8 It is required to determine the value of 'x' and 'y'…

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: 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: 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: 1. Are the vectors (-3, 0, 4), (5, -1, 2) and (1, 1, 3) linearly dependent in R3? a. Yes b. No

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Q: The number of elements in a vector generated by [4:0.1:13] is

A: We have to find the number of elements in a vector generated by  [4 : 0.1 : 13].

Q: Q3/ Determine whether the given vectors are orthogonal, parallel or neither: (1) u =(-2, 6, -4) , v…

A: Given that two vector u and v and prove that its orthogonal , parallel or neither.     Here i…