7. Determine if following set of vectors are bases : Justify your answer. 6. 3 4

Q: 6. Which of the following vectors are linear combinations of the vectors in S? 5 ;S = [13] а. v =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3. Which graph shows AABC translated by a vector of ? (Note: the coordinate grid is counting by 2.)…

A: We have given translation vector 3,-5 According to the translation vector we have to translate the…

Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: Determine whether given vectors spans in 3 R ? S = {(2, -1,4) , (3, -3,5) ,( 1,1,3 ) }

A: Given- S=2,1,4,3,-3,5,1,1,3 To Determine- Whether the given vectors span in R3 or not. Concept Used-…

Q: 3. Consider the following subset SCR' 1 1 S= 8 (a) Is span(S) = R*? Explain your reasoning and show…

A: (Solving first three subparts as per our guidelines) Solution: The set is…

Q: Let a and b be vectors in R3 with Ja| 3 and = 4. If the angle between a and b is |b| (2а + b) . (а —…

A: Given |a| = 3  and  |b| = 4 And the angle between a and b is pi/3

Q: 2 3 Given the following three vectors u = 10 v = -5| and w = 6 8. [-22]

A:

Q: Let ā =, b=, č =. a. What is a +6 b. What is a. 9. c. What is ā x d. Are the vectors a and b…

A: NOTE: Refresh your page if you can't see any equations. . . .................answer(a)

Q: 6. Is the set S {(2, 3, 1), (1, 2, 1), (-2, 3, 3)} C R³ linearly %3D independent or dependent?…

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Q: Is the following is "meaningful?" (By meaningful, I mean it could be calculated. It is "meaningful"…

A:

Q: Let a, b, c be vectors. Which of the expressions below are meaningful? (a) (a · b) × c (b) (a x b) ·…

A: Recall the following two things:  (1) Cross product is defined only between two vectors. The Cross…

Q: For what values of do the following vectors form a dependent set in Vi%3 (а, 0, 0), V2 = (5, a-4,…

A: Given v1=a,0,0v2=5,a-4,0v1=4,3,a+4

Q: Find the answer to the following subtraction problem by using directed vectors on the number line in…

A: Subtraction is an arithmetic operation that represents the operation of removing objects from a…

Q: Let the set S = {(1, 1, 1), (2, 3, 3), (0, 1, 2)} spans R3, write the vector (4,6, 7) as  a linear…

A: Let V be a vector space over the field F.  If v1,...,vn are vectors and a1,...,an are scalars, then…

Q: 4. Let ā = (1, 4) and b = (3, 1). Draw a diagram with a, 6,-3ã, ā + 6, a – 6. Include the lengths of…

A: Given

Q: Find the answer to the following subtraction problem by using directed vectors on the number line in…

A: We have to find the subtraction by using directed vectors on the number line in conjunction with the…

Q: 7. Sara wants to show that (a × b) × ê ‡ à × (b × c). Yasmina says that it is impossible and comes…

A:

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? EN B 3 4 nob C…

A: Given:

Q: 5) 5 li) Given that the vectors a and b are parallel, find the value of x when ()- 4 a and b = 8…

A:

Q: Summarize what is formed when each of the following intersect: a plane and a line, two lines, and…

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Q: following statement is true or false. The set of vectors B={v=(1,2,2),u=(1,0, – 7,

A:

Q: 1 4 Let v, V1 v2 V3 - 4 V2 V3 - 5 p= - 2 and A = %3D 4 60 56 a. How many vectors are in {v,, V2,…

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Q: Suppose you know that every vector in R° can be uniquely written as a linear combination of vectors…

A: The statement "Every vector in ℝ5 can be uniquely written as a linear combination of vectors in a…

Q: 28. Which vector in the options below when included in the set S= 3 4 yields a (larger) set that is…

A:

Q: The set { (1, -1, 1), (2, 0, 1), (1, 0, 0) } in R is a span ? Select one: O True O False Let u= and…

A:

Q: Determine whether given vectors spans in R? S={(2,-1,4).(3,–3,5).(1.1.3)}

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Q: - (1,3.4) + s(2,3,5) - (1, 1,1) + (2,2,–2) : 19. Determine why the linesr and v = are not perpendicu

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Q: State if the following statement is true or false. The set of vectors B= {v=(4,2,3),u%3D(-2,0,-7),w…

A:

Q: #8

A: From the given information:u, v , w are the three vectors in R3. So let,

Q: السؤال 4 If AIB then the angle between A and B vectors is All of the above is false .1 O TT II O…

A: If A⊥B, then find the  angle between A and B vectors.

Q: Let u = , v = and w = . Now, i = is a linear combination of ü, v and w. That is, i = aju + azv +…

A: ANSWER:

Q: Suppose S is a set of R vectors, and you know that every vector in span S can be written uniquely as…

A: Consider the given information.

Q: Which of the following sets of vectors are bases for R? (a) (2, 1), (3, 0) (b) (4, 1), (-7, -8) (c)…

A:

Q: Consider B= {(4,6, c-1), (2, 3, 2c), (1, -1, c)} a set of vectors from R³. What are the values of c…

A:

Q: 4. If d and | = v3, determine (27 – 38)- ( +28). 6 are unit vectors and

A:

Q: Which of the following sets of vectors are bases for R2 (a) (2, 1), (3,0) (b) (4, 1), (–7, –8) (c)…

A: Explanation of the answer is as follows

Q: Determine by inspection, which one of the following statements is true regarding the set of vectors…

A:

Q: Suppose you know that every vector in R can be written as a linear combination of the vectors in a…

A: The set has at least 5 vectors otherwise it will not span the set R5.

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

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Q: 4 2. Detemine if v = and w= are orthogonal. Explain why they are orthogonal or why not. 3

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Q: Let u = (a, b, c) and v = (4, 5, 6). If u is parallel to (1,0, –1) and the projetuutuTu aiuny v is 8…

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Q: 7. Sara wants to show that (a × b) × c = a × b × c). Yasmina says that it is impossible and comes up…

A: Check whether the given set of vectors a→=1, 1, 0, b→=1, -1, 0 and c→=0, 0, -1 satisfy the…

Q: 4 4 Let v, = - 3 V2 = 1 V3 = - 6 p = 1 and A = V1 V2 V3 4 24 44 a. How many vectors are in {v1, V2,…

A:

Q: Do the following sets of vectors span R³? Select an Answer 3 Select an Answer -2 1. 6 LEH ]]] 2. -3…

A:

Q: Below is a diagram of the dotted cube with edges of leng Suppose vectors u = (3,0, 0), v = w =…

A:

Q: a. Is b in {a1, a2, a3}? How many vectors are in {a¡, a2, a3}? b. Is b in W? How many vectors are in…

A: The question is related to vector spaces. The detailed explanation is given below.

Q: Prove the property if a and b are vectors and m is a real number.m(a . b) = a . (mb)

A: Let a=a1, a2, a3   and  b=b1, b2, b3. This implies that,

Q: If vectors 4= (7,2) and = (-3, 5). c determine lü – 20| O VI05 O y109 V233 O y313

A:

Q: Find the largest possible number of independent vectors among a2 az = 5 3 6

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.