This question has to do with coordinates and basis. 米S = {u1,u2} for R2.12. Find the coordinate vector of w relative to the basis(a) u = (1, –1), u2(1, 1); w = (1, 0)%3D=%3D(b) u = (1, –1), u2 = (1, 1); w = (0, 1)%3D

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Answered: 米 S = {u1, u2} for R2. 12. Find the…

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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Question 2 a) An aircraft, flying in a straight line, passes through the points (-6,7,2) and (-3,2,3) measured in kilometres. Find the vector form of the equation of the line that describes the flight path of the aircraft. Determine whether or not the aircraft is flying parallel to the ground which is described by the plane -4x + 6y + 42z = 17, where x.y and z are also measured in kilometres. b) A large shade sail is to be hung tautly between the tops of 3 poles. The tops of these poles are located at point A, B, and C as shown in the Figure 1 below. For instance the point A is located at (2, -3,3) m. find the vectors AB and AC and hence the equation of the plane through these three points. 3 m 5 m 2 m 0 2 m 3 m B 3 m 3 m Figure 1: The poles in Q2(b) which the large shade sail is to be hung taughtly between. c) A tunnel is being constructed through a mountain range where the tunnel is being constructed from both ends at the same time. One end of tunnel starts at the point A (80, -287,…
(It may help to draw a picture for this question). Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. The point with position vector (a+b+c) The point with position vector/1 a+ /b The point with position vector a+b+c Choose... Choose... Choose... (▶ ◆ <▶►
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Graph the vectors , , and below. The vectors may start at any point. 5+ 4. 3. 2: -5-:4-3 -2-1 2. -2 -3 4. -5- Clear All Draw: Submit Question MacBook Air 3.
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米 S = {u1, u2} for R2. 12. Find the coordinate vector of w relative to the basis %3D (a) u = (1, –1), uz = (1, 1); w = (1, 0) %3D (b) u = (1, –1), u2 = (1, 1); w= (0, 1) %3D %3D