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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)

Advanced Engineering Mathematics
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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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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