Exercise 8.1.2 In each case, write x as the sum of a vector in U and a vector in U+. d. x=(2, 0, 1, 6), U = span {(1, 1, 1, 1), (1, 1, −1, −1), (1, −1, 1, −1)}

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A: Given that, u = <8.5, −7, 8> v = <8.5, 9, 2.5>

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A: We have to write the x,y form of vector v.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

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A: Concept - If two vectors say u and v are orthogonal, then their dot product is equals to zero.That…

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A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

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A: If {u⇀,v⇀}  and {u⇀,v⇀,w⇀} spans vector space V then,we will have to prove that we can write w as a…

Q: |Let j and ū = -4 Write j as the sum of two orthogonal vectors, 1 in 9 Span {u} and 72 orthogonal to…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Span of R3 .

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A: We will whether the part 1, 2 and 3 are a vector or a scalar or meaningless as following.