Please explain why  If V� is a vector space and u� and v� are vectors in V�, then according to the axioms  6v⋅u is also a vector in V� is a false statement

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

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Q: According to the formal definition of the term "parallel," two vectors are said to be parallel to…

A: According to the formal definition of the term "parallel," two vectors are said to be parallel to…

Q: If able please provide a visual representation , this question is from linear algebra: Let P and Q…

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Q: Suppose V₁ = vector 1= Write five different vectors in Span{V₁, V2}. For each vector, show the…

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Q: State if the following statement is true or false. The set of vectors B={u=(2,7,3); v = (1,0,7) ;w =…

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Q: Three unique non-zero vectors a, b, and C are defined by four points in space. Select all of the…

A: Proceed as shown below

Q: Q3) A) Let 4 (-1 3, 4) and B (-5, 8, 10) two points in the space, find: 1- The vector AB. 2- Length…

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Q: Show all the work asap

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Q: Vectors in R must have two or more values. A) True B) False

A: Ans: B) False

Q: The sum of the squares of the direction cosines of a vector in space add up to ..............

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Q: 9. Show that is a two-dimensional vector. Ai = -x2 X1

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Q: Which of the following vectors is opposite of the given vector below?

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Q: For any three vectors a, b, and c, we have a x (b x c) (a x b) x c. اختر احدى الدجابات True False

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Q: "ove that if two vectors are linearl y de pendent, e of them is a scal ar mul it ple of the other.

A: Two vectors are linearly dependent, one of them is a scalar mulitple of the other.

Q: Find all vectors u that satisfy the equation (1,1,1) xu= (9,-5,-4) BEBE Select the correct choice…

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Q: A vector in three dimensions can be written in either of two forms: in coordinate form as v = (a₁,…

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Q: Which of the following statements is not true for vectors a, b and c and scalars a andB (A) ax (ab)…

A: Here we will  check one by one and then tell about given statments.

Q: Let u = (3, 6, 2), v = - (6, 7, -2), w = (24, 33, h + 0). Determine the value for h so that w is in…

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Q: ste each vector as a linear combination of the vectors in S. (Use 51 and 52, respectively, for the…

A: Note : " As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: The vector -3 (GIE) -1 -4 0 -7 vectors -3 2 belongs to the span of the 5 Select one: O True O False

A: Given: W=span-3-10, -1-4-7. To check v=-325∈W.

Q: Find a vector orthogonal to all vectors in the set ((2,1,2), (2, – 2,3)) . Write your answer as an…

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Q: For any vector v = (a, b, 0), where a and b are any nonzero real numbers, Select one: True False vok…

A: Here I have written the notion, I have used in my solution

Q: Determine whether the vectors ?→ = (2,−1,3), ? → = (1,1,−2), and ? → = (3,−1,5) span ℝ?. If not find…

A: Span: Let us consider the set of  vectors S={v1,v2,v3,......vn} in a vector space V is said to be…

Q: 5 3 -2 -3 w = -3 |; A= 4 -5 2 2 -5 4 -1 . Determine if vector w is in Nul(A)

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Q: 1 If vector is a unit vector, what is the x?

A: We will find the value of x as following.

Q: 4 16 -- 12 -21 4. Is the vector in the span of the vectors 10 12 -8 and 8 ? Explain!

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Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

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Q: Let a, b, and c be vectors. Is it a vector, scalar, or is in meaningless? 1) ( a X b ) + a.b 2) -2 +…

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

Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: Find nonzero vectors a, b, and c in space such that a × b= a X c but b# c.

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