A Click Submit to complete this assessment.Question 46 of 46Question 46e AnswerThe coordinates of the vector x= (2, 15, – 7) in the basisB = {v=(2,0,1),u=(0, – 3,2),w = (0,0,1) }ofR3 are:O A. (2,1, – 5)·B. (2,0,0)·C.All the choices in this list are wrong.D. (1, – 5,2)·E. (2,15, – 7)· A Moving to another question will save this response.< Question 45 of 46Question 45Save AnswerIn the vector space P, of polynomials of degree atmost two, the first column of the matrix of transition fromthe basis B={e,=1+2x; e,=x - 3r?; e,=1+x²} to the basis A ={a,=1; a,=x;a,=x*} is:A.B.2/56/5D.( -1/56/52/5E.2/56/5

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the vector 2a – b if a = –4i + 5j and b = 7i + 2j.
Let ū = -27+ 95 and v = 4i- 7j. Compute each of the following. (a) 2u – 30 - (b) ||ū + || Find a unit vector in the direction of u = (-1,2, 3). Find the value(s) of a for which i = (-1, 2a – 1,3) and w = (2, 2a + 3, - parallel.
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a. Write the vector (8, 5, 30) as a linear combination of a₁ = (4, -4,1), d₂ = (4, -5, 5) and d3 = (0, -4,-4). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ +52 + 6ả3, which would be entered as 4a1 + 5a2 + 6a3. (8,5, 30) = b. Represent the vector (8,5,30) in terms of the ordered basis B = {(4,-4, 1), (4, −5, 5), (0, -4,-4)}. Your answer should be a vector of the general form . [(8, 5, 30)] B =
a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =

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The coordinates of the vector x= (2,15, – 7) in the basis B= (v=(2,0, 1) ,u=(0, – 3,2),w=(0,0, 1) } of R3 are: A. (2,1, – 5)· В. (2,0,0): C. All the choices in this list are wrong. D. (1, - 5,2)· E. (2,15, – 7).