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7. Sara wants to show that (a × b) × c = a × b × c). Yasmina says that it is impossible and comes up with three sets of vectors to prove Sara wrong. Do any of Yasmina's sets of vectors prove Sara's statement to be correct? Explain with words and math. i. a = (1,0,0), b = (0, 1, 0), = (0,0,1) ii. a = (1, 1,0), b = (1,-1,0), è = (0,0,−1)

7. Sara wants to show that (a × b) × c = a × b × c). Yasmina says that it is impossible and comes up with three sets of vectors to prove Sara wrong. Do any of Yasmina's sets of vectors prove Sara's statement to be correct? Explain with words and math. i. a = (1,0,0), b = (0, 1, 0), = (0,0,1) ii. a = (1, 1,0), b = (1,-1,0), è = (0,0,−1)

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
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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ii please, NOT i or iii

7. Sara wants to show that (a × b) × ¢ ‡ ả × (b × ĉ). Yasmina says that it is impossible and comes up with three sets of vectors to prove Sara wrong. Do any of Yasmina's sets of vectors prove Sara's statement to be correct? Explain with words and math. i. a = (1,0,0), b = (0, 1, 0), è = (0, 0, 1) ii. a = (1,1,0), b = (1, –1,0), c = (0, 0, −1) ini. a = (1,0,0), b = (1, 1,0), ć = (1,1,1)
Transcribed Image Text:7. Sara wants to show that (a × b) × ¢ ‡ ả × (b × ĉ). Yasmina says that it is impossible and comes up with three sets of vectors to prove Sara wrong. Do any of Yasmina's sets of vectors prove Sara's statement to be correct? Explain with words and math. i. a = (1,0,0), b = (0, 1, 0), è = (0, 0, 1) ii. a = (1,1,0), b = (1, –1,0), c = (0, 0, −1) ini. a = (1,0,0), b = (1, 1,0), ć = (1,1,1)
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