Consider the following vectors: -3 Wi = -3 w2 = 10 v = -3 -12 -2 Span (w1, w2) of R. Find a vector n which is orthogonal to W, and such that v – n is The set B = {W1, W2} is an orthogonal basis of a subspace W = in W. Enter the vector n in the form [c1, c2, C3]:

Q: Find the vector x determined by the coordinate vector [x]p in the given basis ẞ. B = -7] ,[x]ẞ = 9

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A: Note: As per rule I need to solve only first three subparts.

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A: We have to find the coordinate vector of the vector -4, 3, 1 in the basis B=u=1,1,1; v=1,0,1;…

Q: #7. Given that the three 3-dimensional vectors v1 = (- 1,3, - 4), v2 = (3, – 8, 10), v3 = (2, – 9,7)…

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Q: Consider the vectors u₁ = and the vector w = 3 H Q- W U2 = []} Uz = U2+ →→→→ →→→→ If u IS in the…

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A: Answer

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A: Here, v1,v2,v3 is an orthogonal set of vectors in R5 and w is a vector in Span(v1,v2,v3) such…

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Q: Consider the vectors ā₁ = (-1,2,2), a2 = (2,2, -1), and 3 = (2,-1,2). 1. Compute the projection…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: {a} = C1 %3D {a, b} = C2 {a, b, c} = C3 %3D {a, b, c, d} = C4 where 4 a = b =| 2 c = -1 d =| ? ?…

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Q: Determine the scalar triple product u (v x w) of the vectors u = i + 2j + 3k; v= -i-j+k; w = i+j+k…

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Q: Find the coordinate vector of v = [-7 [-7 [011], [221] ). −4 -4 -5] relative to the ordered basis B…

A: Vβ​=[−3​0​−2​]   Explanation:

Q: Suppose V₁, V₂, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3 )…

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Q: The coordinate vector of the vector (-4,3,1) in the basis B = {u= (1,1,1); v= (1,0,1); w= (0,0,1) }…

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Q: The coordinate vector of the vector (-4,3,1) in the basis B={u= (1,1,1); v= (1,0,1); w=(0,0,1) } is:…

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