▶Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, v3) such that V₁ - V₁ = 54, V₂ · V₂ = 11.25, V3 - V3 = 9, . w-v₁-162, w v₂ = 78.75, w - V3 = -27, = then w = v₁+ V₂+ V3.

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: Can the vector (3, −5, 2) ∈ R3 be written as a linear combination of the vectors v1 = (2, −3, 1) v2…

A: Linear Combination:Let V be a vector space and S = {v1, v2, · · · vn} ⊆ V . Then for α1, α2, · · ·…

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: Are vectors a = (2, 1, 3) and b = (2, -5, 1) orthogonal? %3D %3D

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Q: Find a non-zero vector that is orthogonal to (-7,6,5).   Separate your entries by commas, and…

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Q: 1 5 Let v -7 -3 Justify each answer. 2 h (a) For what values of h is v in Span{v1, v2}, and (b) for…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Express vector t = (3, 6, -6, 9) as a linear combination of vectors u = (-1, 3, 0, 7) and v = (-5,…

A: The given vectors are: t=3, 6, -6, 9u=-1, 3, 0, 7v=-5,0, 6, 5 We have to express the vector t as a…

Q: 123 Write the vector 2 as a linear combination of the vectors 3 4 (6676) 5 4 2

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

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Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: Express the vector p = (-6,15,-3) as linear combination of the vectors u = (1,-1,3), v = (2,-5,0)…

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Q: Suppose that v₁ = (4, 4, 0, 7), v₂ = (2, -5, 5, 4) and v3 = (-7, 0, 5, 2). Is the following vector…

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Q: Show that the vectors (1,0,1); (-1,2,3) and (0, 1; -1) spans R³

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Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

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Q: Consider the vectors i = (6,4), i = (-2,6), = (4, 2), and i = (-2, 3). Which of these vectors are…

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Q: Write a = 18 (0, 3, 0) as the sum of two vectors, one parallel and one perpendicular to b = If a = a…

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Q: Let ü =(-3,-5), û = (-4,-2),and w=(1,2) Find the vector Ā that satis fis 3ū-ū +ス= Sス+ロ In this cax=

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Q: Are the vectors u=(1,2,-4), v=(-5,3,-7) and w =(-1,4,2) are in the ?same plane

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Q: If possible express the vector v as a linear combination of V₁, V₂, and V3. =(0, 0, 0), V₁ = (3, -1,…

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