Solve if the following vectors is a basis:Ả = in – 3iz + 2i3B = 21₁ 412 - 13C = 3i₁ +21₂ - 131.2.2A-3B + C3. 3Ä - 5B + 2с4A 5B + C4.

Answered: Image /qna-images/answer/864365c2-8e09-4990-84ae-e0784773cb80.jpg

Answered: Solve if the following vectors is a…

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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Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. Describe the solution set, x = O 4x₁ +4x2 + 8x3 = 16 - 8x₁ - 8x2-16x3 = - 32 - 3x2-3x3 = 15 , of the first system of equations in parametric vector form. Select the correct choice X2 X3 below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) O O A. X= B. X=X₂ C. X= D. X=X₂ + X3 X1 + X3 4x₁ + 4x2 + 8x3 = 0 - 8x₁ - 8x₂ - 16x3 = 0 - 3x2-3x3 = 0
Find the vector w of length 4 in the direction of v = 7i + 4j. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.)
If a, b and c are three non-coplanar vectors, then find the value of a. (bx c) b·(c×a)¸c·(b×a) + b.(cxa) c.(axb) a (bxc) a.(bxc)
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An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer monitors and 10,000 flat panel televisions, and facility B produces 4000 computer monitors and 18,000 flat panel televisions. (a) Give vectors a and b that give the weekly production amounts at A and B, respectively. a = 2000 10000 (b) Compute 6b. eBook 24000 108000 b = 4000 Describe what the entries tell us. 18000 The company produces 24000 5 3 computer monitors flat panel televisions computer monitors and 108000 (c) Determine the combined output from A and B over a 5-week period. computer monitors 30000 flat panel televisions 140000 flat panel televisions at facility B in 6 (d) Determine the number of weeks of production from A and B required to produce 32,000 monitors and 152,000 televisions. facility A X weeks facility B X weeks weeks.
Moving to the next question prevents changes to this answer. Question 1 Given the vectors A = 4a -10a-5a P B=a+2a-7a₂ Evaluate the following (-3)|A| 3a O-0.8477a - 19.6954a+28.9338a_ p O 2.9820a +0.9431a +37.5569a P 7 P O 2.1143a -22.5451a + 13.4991a o p P O 0.2345a +12.5643a-21.4043a A Moving to the next question prevents changes to this answer.
given the vector A=48p-6.9åo+3â, at point P(6,8,5). The vector A can be expressed in cartesian system as O a. -3.12åx+7.34ây+3âz O b. -3.12åx+7.34ay-3az O.7.92áx+-0.94ay+3az O d. -7.92áx+-0.94ây+3áz O e.-7.92ax+-0.94ay-3áz
Consider the following vectors: u = (1, −2, −1), v = (-2, 1, 8) Without using the cross product, find a vector n which is orthogonal to both u and U. You need to use a notion from chapter 5 to set up a system of linear equations, then use RREF to solve the system. Explain why this method works.

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Solve if the following vectors is a basis: 1. Ả = in – 3iz + 2i3 B = 21₁ 41₂ - 13 C = 3i₁ +21₂ - 13 2. 3. 2A-3B + C 3A 5B + 2C 4. 4A-5B + C