Q: 2- We can write the vector x = (19,–1,–) in R³ as a linear %3D combination of the vectors x1 = (4,2,…
A:
Q: Show that except in degen-erate cases, (u * v) * w lies in the plane of u and v, whereas u * (v * w)…
A: Show that except in degenerate cases, (u x v) x w lies in the plane of u and v, whereas u x (v x w)…
Q: - 5. Consider th gonal to vector (-
A:
Q: Compute the orthogonal projection of 7 = proj,(v) = 4 [1] onto the line L through -4 and the origin.
A: Given: Data is given
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Q: Compute the orthogonal projection of u onto 7. Use the square root symbol 'V' where needed to give…
A: Orthogonal projection
Q: Is it possible to make Z into a vector space if we redefine addition?
A: To check: the possibility to make ℤ into a vector space.
Q: Compute the orthogonal projection of 7 = projz (7) = onto the line L through and the origin.
A: The given data is: v→=-69 To compute the orthogonal projection of v→=-69 onto the line L through -76…
Q: 2 Let L be the line in R³ that consists of all scalar multiples of the vector . Find the orthogonal…
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Q: 2.52 Prove that Ca, b] is a vector space.
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Q: Let L be the line in R³ that consists of all scalar multiples of the vector onto L. proje 22 T .…
A:
Q: Compute the orthogonal projection of i -5 onto the line L through -4 and the origin. proj, (5) =
A: Here we use for product to find he projection.
Q: 2/159 The commercial airliner of Prob. 2/90 is redrawn here with three-dimensional information…
A: Given :The commercial airline of Prob. 2/90Magnitude=90 kN.We fine y-and z-coordinates of the point.…
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Q: What is the scalar projection of á = (1,0, 1) onto b = (0, 3, 4)?
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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.
A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12 =9+1|v→| =10 u→ · v→ =2, -3, 1·-3, 0, 1u→ · v→ =…
Q: 1 Compute the orthogonal projection of v = onto the line L through -6 and the origin. 2 projz (7) 2.
A:
Q: #2. Find invertible matrxes B and C SO C M.B =
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Q: Project the first vector orthogonally into the line spanned by the second vector. 2 3 -2
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Q: The vectors in Z22 are [ O, O] , [ O, l], [l, O ], and [l, l ]. (How many vectors doesZn 2 contain,…
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Q: Compute the orthogonal projection of = 3 onto the line L through -2 and the origin 2 proj, (v) =
A:
Q: 2. Use a directed line segment to represent the vector. (а) и %3D (2, —4) (b) v = (2,4, –4)
A: Given that the vector a u=2,-4 b v=2,4,-4Solution a u=2,-4u=22+-42u=20 =25b v=2,4,-4v=22+42+-42v=6
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Q: Defined byT (x, y, z) = (y+2z, –2x+y+2z, –3x– y+52), is diagonalizable.
A:
Q: Compute the orthogonal projection of v = 3 onto the line L through -2 and the origin. projr (7) =
A:
Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.
A:
Q: What is the maximum of || Ar||∞ if ||r||∞ = 1? What is the maximum of ||Ar||2 if |-|2 = 1? For…
A: A=2123 (a) We know that Ax∞≤max∑ka1k,∑ka1k,…∑ka1k when x∞=1. Ax∞≤max2+1,2+3=5 The maximum of Ax∞ is…
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A: The given points are P=(2,-6,4) and Q=(3,5,-3). We have to do vector parametrization. We subtract…
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A: Here, u→=103v1→=012v2→=410
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A: Here we use the property of linear transform.
Q: Find the scalar and vector projections of d = (4, 2, –5) on b = (3, –1, 6).
A:
Q: 18. Find the vector u in 2-space of length 2 that makes an angle 0 4.
A: A vector having length u→ and makes an angle θ is given by u→ = u→cosθ i^ + u→sinθ j^
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A: Given- The set of vectors u1=<1,-1,3,-1> and u2=<1,-1,4,2> To Check- If they are…
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A: To compute the orthogonal projection of u=-4-89 onto v=132.
Q: Suppose the vector ū =<3,1,-47 is translated so that it's heach is at the point C-1,2,3). where ito…
A: Given that the vector u→ = 3,1,-4 is translated such that its head is at the point (-1,2,3). We have…
Q: Determine whether Hhe Lindependent. by inspection Vectors are linearly 6. -2 -3
A: A vector is given
Q: Compute the orthogonal projection of i = 1 onto the line L through 4 and the origin. projz (5) =
A: Vector projection
Q: Sketch the following Cartesian products on an x, y-plane. (2) {2, 4, 6} × {0, 1, 2} (b) [0, 2) x {1,…
A:
Q: 3. Show that that the vector u = -5 is a linear combination of the vectors vị = 3 U2 = and v3 %3D
A: Given vectors are u= 2-5 3, v1= 1-3 2, v2= 2-4-1 and v3= 1-5 7 To show that u is a linear…
Q: 2- We can write the vector x = (19,–1, -) in R³ as a linear combination of the vectors x1 =…
A:
Q: 4. Describe in words the translation of X represented by a translation vector of .
A: Translation vector is a type of geometric transformation. A translation vector moves or translates a…
Q: Compute the projection of →a→ onto →b→ and the vector component of →a→ orthogonal to →b→. Let…
A:
Q: Suppose there is a collection of three or more two- dimensional vectors. Provide an argument…
A: Collection of two dimensional vectors mean those vector having i and j components.
Q: 8) Let A be an nxn ma tiX. vector b the equation Ax = b has more than one solution. Explain why A is…
A: Invertible matrices
Q: 6. Compute the projections of [1, – 1,0, 1] on the vector [0, 1,0, 2]. |
A: Let v = [1, -1, 0, 1] and u = [0, 1, 0, 2]
Q: 4) Show that, in general, (A.B)" = B".AT How is (A.B) related to (B.A) when both tensors A and B are…
A: 4.
Q: Find a vector x whose image under T,
A: A=12541022011-4-9-21 ,b=12543-51The augmented matrix of the system is 12541022011-4-9-2112543-51now…
Q: 3 Let W = span Given y = 1 decompose this vector into y in W and y, in w. 3 13-
A: See the detailed solution below.
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7 서울과학기술대학
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6 중앙인스코리아 서울과학기술대학교
이름 : 쇼흐루흐
16.
16. Find the scalar
projection of 6-<1,2> onto a-<3,1>.
a-<3.4 >위로의 b-<1,2 >의 스칼라 사영을 구하여라.
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- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?After a hard-fought football game, it was reported that, of the 11 startingplayers, 8 hurt a hip, 6 hurt an arm, 5 hurt a knee, 3 hurt both a hip and an arm,2 hurt both a hip and a knee, 1 hurt both an arm and a knee, and no one hurt allthree. Comment on the accuracy of the report.The Pew Research Center (2021) conducted a survey to learn more about how people in theUnited States think about voting rights. They were particularly interested in learning if there aregroup differences in whether people viewed voting as a, “Privilege that comes withresponsibilities and can be limited” or a, “Fundamental right for every U.S. citizen and shouldnot be restricted.” They found differences in these perspectives between the two leading politicalparties, with more Democrats reporting that they viewed voting as a fundamental right comparedto Republicans. However, they were also interested in determining if there were differencesbetween different racial/ethnic groups and compared the responses of white, Black, Hispanic,and Asian survey respondents. What statistical test should be used to determine if there are differences between the surveyed racial/ethnic groups? Assume parametric assumptions are met. A. Is this a relationship test or a difference test? Explain your…
- 75% of the total number of first-year optometry students from DDC, 25% were males and 50% were females, have bad eye vision due to their reading habits and got poor academic performance but a satisfying performance in non-academic activities. The researcher got a 30% sample out of the 100% population and found out that 20% of the sample were females and 10% were males with bad eye vision due to their reading habits and got poor academic performance but satisfying non-academic performance. Questions: If the total population of first-year optometry students from DDC is 65, how many students from the population have bad eye vision due to reading habits? How many females and males of the total population have poor performance in academic activities? List down 4 possible variables that the researcher identified for his study. PLEASE ANSWER ASAP, BADLY NEEDED THANKS!Thirty of the 198 students enrolled in Statistics 101 were asked if they wanted Exam II to be a or an assessment. Twenty, or about 67%, of the students polled indicated a preference for an exam. The professor concluded that the majority of students in Statistics 101 would prefer an examination for the second assessment. Did the professor perform a descriptive study or an inferential study?Below are summaries of two studies exploring the dangers of texting while driving. Read eachsummary and then comment on which study, 1 or 2, you think provides stronger evidence that textingwhile driving is dangerous. Explain your reasoning by laying out the facts (identify the scientific studiesbeing done, potential errors, etc.) from these two studies and implications that led you to your conclusion. Study 1: Drivers in this study were between the ages of 16 and 54, and they performed on a closedcourse, with no other cars or pedestrians present. The idea of “danger” was measured by drivers’ reactiontime—the time from seeing a flashing yellow light until they applied the car breaks. The treatment condi-tions in this study were: sending text messages, reading text messages, and a control condition in whichdrivers completely focused on the road. Study 2: Drivers in this study were long-haul truck drivers, and their behavior was recorded using severalcameras inside the cab of their…
- An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Agree Disagree Total Football Fan 673, 543, 1,216. Not a Football Fan 199, 681, 880. Total 872, 1,224, 2,096. Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan (a) Calculate the following probabilities. (Round your answers to four decimal places.) (i) P(A) = (ii) P(D) = (iii) P(A|F) = (iv) P(A|FC) = (b) Are the events F and A independent events? Justify your answer using relevant probabilities. Yes, the events F and A are…Are male or females more likely to be wrong about whether their partner cheated?A survey was conducted of two types of marketers. The first type being marketers that focus primarily on attracting business (B2B), and the second type being marketers that primarily target consumers (B2C). It was reported that 518 (88%) of B2B and 246(59%) of B2C marketers commonly use a business social media tool. The study also revealed that 301(51%) of B2B marketers and 248(59%) of B2C marketers commonly use a video social media tool. Suppose the survey was based on 590 B2B marketers and 420 B2C marketers. Complete parts (a) through (c) below. At the 0.05 level of significance, is there evidence of a difference between B2B marketers and B2C marketers in the proportion that commonly use the business social media tool? Let population 1 correspond to B2B marketers and population 2 correspond to B2C marketers. Choose the correct null and alternative hypotheses below. A.H0:π1=π2 H1: π1≠π2 BH0:π1≥π2 H1:π1<π2 C.H0:π1≤π2 H1:π1>π2…
- A state highway commission is considering removing the lane that allows people to pay cash for a toll on a toll road and requiring all people who use the toll road to pay with an electronic transponder that is connected to their car. The commission wants to know whether the proportion of people who live in the northern part of the state and are in favor of removing the cash lane is different from the proportion of people who live in the southern part of the state and are in favor of removing the cash lane. Independent random samples are selected from the northern and southern parts of the state. The table summarizes the responses of those surveyed. Northern Southern Total Remove Cash Lanes 112 98 210 Keep Cash Lanes 89 105 194 Total 201 203 404 Which of the following is closest to the pp-value of the appropriate test to investigate whether the proportion of people living in the northern part of the state who are in favor of removing the cash lane is different from…A group of researchers would like to see whether people are more likely to adhere to the Mediterranean diet if they attend a weekly workshop on the Mediterranean diet than if they are given a Mediterranean diet cookbook. To recruit study participants, they host a website offering a free diet intervention to anyone who signs up. From the online signup list, they randomly select 40 people to take the course and 40 to receive the cookbook. Of the 40 people who took the course, 3 months later, 55% report still adhering to the Mediterranean diet. Of the 40 who received the cookbook, 3 months later, 45% report adhering to the diet. What is the parameter of interest in this study? Let pˆwkshp be the proportion of individuals adhering to the diet 3 months later among individuals who have completed the workshop and let pcook be the proportion of individuals adhering to the diet 3 months later among those who received the cookbook. Calculate a 90% confidence interval for pwkshp − pcook.…According to the Mines and Geosciences Bureau (MGB) Region 6 identified the top 2 districts with the most number of barangays prone to flooding. Moreover, they have also whether these barangays are "very nigh of "high" susceptibility to flooding. In Jaro, nine barangays have "very high" flooding risk. These'are San Isidro, (5) Sambag, (6) Ungka, (7) Lanit, (8) Buntatala, and (9) Tagbak. identified (yCalubihan, (2) Buhang, (3) Dungon-A, (4) The Jaro barangays with 18 "high" flooding risk are (1) Montinola, (2) Taytay Zone 2, (3) Desamparados, (4) Cuartero, (5) Ma. Christina, (6) San Roque, (7) Simon Ledesma, (8) Democracia, (9) Tabuc Suba, (10) Cubay, (11) Balabago, (12) MV Hechanova, (13) Quintin Salas, (14) Tacas, (15) Dungon B., (16) Camalig, (17): Arguelles, and (18) El 98. In Mandurriao, four villages with "very high" susceptibility to flooding are (1) Tabucan, (2) Bakhaw, (3) Buhang Taft North, and (4) Santa Rosa. Barangays deemed with "high" flood exposure risk are (1) San…