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 = (13, -9, 23) (b) V = 8, (c) w = (1, -8, 12) )s, + ( –3 W = 00

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: Find the length of the vector I -6 -5 ||

A: x→=x1x2x3length of vector x→ is (x1)2+(x2)2+(x3)2

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: 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: 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: a. Write the vector (-5, 15, 12) as a linear combination of a the form 4a, + 5ã, + 6ã3, which would…

A: Solving system of linear equations we get the result

Q: Make sure the vector 7 = (8,3, 1) iş a linear combination of vf = (-5, 2, 1) , v = (-1, 4, 2) and vg…

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

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Q: 7 -6 -5 -4 -3 -2 -1 -군 Find the vector shown above 3. 1. V

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

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

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: 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: Find the component form of the resultant vector. 4) u=(-4,-7) 5) u = (3, 3) Find: -8u %3D Find: 5u…

A: If we have a vector v = v1 , v2 and a scalar α thenα v = αv1 , v2 = αv1 , αv2

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

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

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) }To find:  the vector as a linear combination of the vectors in S.…

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

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

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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: Determine whether the given vectors are orthogonal, parallel, or neither. a. å = (-5,3,7), b =…

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

A: Linear Combination

Q: Vrite 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: 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: Irite 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 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: Find the sum of the given vectors and illustrate geometrically. 12. (1, 3, -2), (0, 0, 6)

A: Now the two given vectors be <1,3,-2> and <0,0,6> . To find the sum of the given vectors…

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: 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: 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: 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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