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Problem Consider the vector a shown below and the two reference frames A = = {A, â1, â2, â3} and B {B, 6₁, 62, 63}. Let 1₁ and 12 be two positive numbers. B 1 â₂ â3 (c) x = =-1161 +1₂6₂ (d) x = 1₂6₂ 1262 6,* b₂ 1. Identify the plausible expression for a expressed in frame A: (a) x 1₁â1 + 1₂â2 (b) x = -1₁â₁ (c) x = -l₁â₁ + 1₂â2 (d) x = 12â2 ‚â₁ A 2. Identify the plausible expression for a expressed in frame B: (a) x = 1₁6₁ +1₂62 (b) x = =-116₁

Problem Consider the vector a shown below and the two reference frames A = = {A, â1, â2, â3} and B {B, 6₁, 62, 63}. Let 1₁ and 12 be two positive numbers. B 1 â₂ â3 (c) x = =-1161 +1₂6₂ (d) x = 1₂6₂ 1262 6,* b₂ 1. Identify the plausible expression for a expressed in frame A: (a) x 1₁â1 + 1₂â2 (b) x = -1₁â₁ (c) x = -l₁â₁ + 1₂â2 (d) x = 12â2 ‚â₁ A 2. Identify the plausible expression for a expressed in frame B: (a) x = 1₁6₁ +1₂62 (b) x = =-116₁

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section: Chapter Questions
Problem 14RQ
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1 Problem Consider the vector a shown below and the two reference frames A = {A, â₁,â2, â3} and B = {B, 6₁, 62, 63}. Let 1₁ and 12 be two positive numbers. B x b₁ b2 a3 ₂ A ‚â₁ 1. Identify the plausible expression for a expressed in frame A: (a) x = 1₁â1 + 1₂â₂ (b) x = -1₁â1 (c) x = -₁â1 + 1₂â₂ (d) x = 1₂â₂ 2. Identify the plausible expression for a expressed in frame B: (a) x = 1₁6₁ +1₂62 (b) x = =-116₁ (c) x = -1₁6₁ +1₂62 (d) x = 1₂6₂
Transcribed Image Text:1 Problem Consider the vector a shown below and the two reference frames A = {A, â₁,â2, â3} and B = {B, 6₁, 62, 63}. Let 1₁ and 12 be two positive numbers. B x b₁ b2 a3 ₂ A ‚â₁ 1. Identify the plausible expression for a expressed in frame A: (a) x = 1₁â1 + 1₂â₂ (b) x = -1₁â1 (c) x = -₁â1 + 1₂â₂ (d) x = 1₂â₂ 2. Identify the plausible expression for a expressed in frame B: (a) x = 1₁6₁ +1₂62 (b) x = =-116₁ (c) x = -1₁6₁ +1₂62 (d) x = 1₂6₂
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