Linear Combinations In Exercises 1-4, write each vector as a linear combination of the vectors in S (if possible). 3. S = {(2, 0, 7), (2, 4, 5), (2, – 12, 13)} (a) u = (-1, 5, –6) (b) v = (-3, 15, 18) (c) w = (4) (d) z = (2, 20, – 3) %3D

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v Vectors…

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

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

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Q: Use the given vectors to compute u + v, u-v, and 3u - 4v. u = (3, -7), v= (5, 9) u + v = u - v = 3u…

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Q: what are the endpoints of vector v - u?

A: v = (-6,-7)u = (1,-3)

Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: 3.10 14. r(t) = (cos³ t)i 1>0 (²/3/1 (cos³ t)i + (sin³t)j, 0<t<π/2

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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: S = {(2, –1, 3), (5, 0, 4)} (a) z = (11, -8, 20) z = (6) v=(15, -) (b) 4 v = (c) w = (4, -7, 13) ]…

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

A: