Let w= (-1,4,15), v = (1, 2, 8), v = (3, 0,1). Does w belong to span(v,,v,)? If yes, then write the first vector as a linear combination of the other two.

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 the vector PP, 1. Р.(3,2) P, (5,7) 2. P(-2,-1) 3. Р (3,3) P,(4,-5) P, (5,5) 2

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Find the vector in R³ from point A = (–4, 7, 6) to B = (–8, –5, 7). AB: =

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

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Q: Find a vector orthogonal to both and . Include a step by step solution please

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Q: Let a = (2,3,6) and b = (3,4,2) be vectors.  Compute the cross product aXb

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Q: Find  vector z + vector y if vector z= and vector y= . graph

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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: Construct a vector that is perpendicular to the plane containing (−2, 4, 1),(3, 3, -1) and (1, 0,…

A: Construct a vector that is perpendicular to the plane containing (-2,4,1),(3,3,-1) and (1,0,2)

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: 01/ Determine if the two vectors are parallel, orthogonal or neither. j = (4,-2,7), i = -37 + j + 2k

A: The given vectors are                                   p→=-3i^+j^+2k^                         and…

Q: Find four different nonzero vectors that are orthogonal to v = (-1,5,2)

A: This is a simple problem based on orthogonal vector which could be solved by using basic knowledge…

Q: Find the components of the vector V with point p1 (1,4,5,3). And its ending point p2 (2,5,86) I need…

A: Given point is : p1=1,4,5,3 and p2=2,5,8,6 To find the component of the vector V.

Q: Line E goes through the points (1, 5, 2) and has the direction vector ⟨2, 2, 3⟩. Line F goes through…

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Q: find a vector that is orthogonal to (1,2,3) and (4,5,6). do not use cross product.

A: Let's find vector that is orthogonal to given two vectors.

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

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Q: Determine whether or not the given vector b is in the span of the vectors u₁ and u₂. [2] = [3], b…

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Q: Suppose that v1 = (5, 2, 0, 3), v2 = (2, -2, 8, 2) and v3 = (-6, 0, 5, 4). Is the following vector…

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Q: Suppose that v1 = (5, 1, 0, 5), v2 = (5, -3, 6, 2) and v3 = (-5,0, 5, 2). %3! Is the following…

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Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: determine if the following pair of vectors is linearly dependent or linearly independent. show all…

A: Step 1: Step 2: Step 3: Step 4:

Q: Express i = (3,7,-4) as a linear combination of i = (1,2,3), ỷ = (2,3,7), z = (3,5,6), also check…

A: see below the answers