Write -2 | as a linear combination of the vectors 5 -5 -2 5 = 5+ 0 0 ୦-୦ + 4 --[3][[] 5 1 1

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

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Q: Given'! I1xl1= 3 Ily 1 X.Y--2 (x-2y) (3x +5y) Sol: 3(4) + 2- 10 19

A: Given:       x=3, y=1, x·y=-2  To find:          x-2y·3x+5y       =x·3x+5y-2y·3x+5y…

Q: ctor is a quantity characterized by only a positive or negative number that represents its magnitude…

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Q: |고2 y 2리1- (y?-고2)(22 - 교2)(22 - y}) y 24 1. 1.

A: To show that

Q: what are the examples of contravarient and covariant tensors?

A: Example of Covariant tensor: A'i=aijAj

Q: Describe the relationship between the point (10,13) and the vector

A: We have to describe the relationship between the point (10, 13)  and  vector  <10, 13>

Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: How do you know if 3 vectors span R^3? Is there any example?

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Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0…

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Q: Detecmine if the Columns of the mahix beom a Tutihy answer linearly independent Set

A: The Matrix given to us is 0-853-74-15-41-32

Q: Is the set of (infinite number of) vectors { (0,0,c) }, where c is a real number, a vector space…

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Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: What is the component form of v?

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Q: 5) 5 li) Given that the vectors a and b are parallel, find the value of x when ()- 4 a and b = 8…

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Q: 1 3 5. -2 ? Why? 5. -2 2 B = 3 -1

A: The solution is given as

Q: V•U Compute u. u, v. u, and using the vectors u = u u u U= (Simplify your answer.) -5 ... and v= 6 3

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Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

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Q: write 4 Given that = 3 -5 4 2 3 4 as a linear combination of the vectors -5 4 -5+ -5 3 3 -2 5 -4 -3…

A: We will write  as a linear combination of the vectors

Q: In Exercises 25-28, u and v are binary vectors. Find u + v in each case. 25. u= 26. u= 0--0 10

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Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Q: Find the vector determined by 18 || = B = {[.]. 9 6 12 3 9 2 -8 " where B = 3 [-]

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Q: Vector u has POSITIVE x-component, POSITIVE y-component and ZERO z-component. Vector v has NEGATIVE…

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Q: v,w,x ∈ℝ^7 are non-zero vectors. Which of the expressions do and do not make sense. (v+w)/x w-(v⋅x)…

A: It is given that v→,w→,x→∈ℝ7 are non zero vectors. The objective is to determine which expressions…

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B = if you already…

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Q: Use coordinate vectors to test the linear independence of the set of polynomials {1– 212 –t',t+21,…

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