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) 8 Z = (b) v = (18,-1, 59) V = (c) W = 7 w (4, -7, 13) (d) u =(3, 1, -1) $1 + -1 7 )5₂ + (12 ) ₁₁ + (-2 )S₂ )s₂

Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

Q: skip the first 3 thank you

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Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: Calculate v x w = (u1,u2, u3). v = (9,5, 4) w = (-4, 8, –5) (Give your answer using component form…

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Q: If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where v₁ = (2, -1, 4), V₂…

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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: 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: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: Find the sum and difference of the following vectors:     a. + b. 0

A: Consider the part (a): a→=-4i^+6j^b→=5i^ a→+b→=-4i^+6j^+5i^=-4+5i^+6j^=i^+6j^…

Q: Find the image of the vector = (1,2) by rotating it 30° counter-clockwise and scaling it by a factor…

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Q: a. Write the vector (8,5, 30) as a linear combination of a₁ = (4, -4,1), d₂ =(4,-5, 5) and d3 = (0,…

A: (a) Let,   <8, 5, 30> = a<4, -4, 1> + b <4, -5, 5>+ c<0, -4, -4>     =>…

Q: a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 =…

A: The given vectors  and .(a) The aim is to write the vector  as a linear combination of the given…