Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Consider the vectors shown in the figure. 4 аз 3 2 a2 a1 |-1 -2 |-3 -4 -4 -3 -2 -1 1 2 3 4 - Part 1: Basic properties The figure shows vectors in R" for n = The coordinate representation of the zero vector is 0 (use coordinate vector notation, not ijk-vector notation). • Part 2: Parallel or not? Are any two of these vectors parallel to each other? - Is ai parallel to a2? choose - Is ai parallel to a3? choose - Is a2 parallel to a3? choose • Part 3: Coordinate representations
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Transcribed Image Text:Consider the vectors shown in the figure. 4 аз 3 2 a2 a1 |-1 -2 |-3 -4 -4 -3 -2 -1 1 2 3 4 - Part 1: Basic properties The figure shows vectors in R" for n = The coordinate representation of the zero vector is 0 (use coordinate vector notation, not ijk-vector notation). • Part 2: Parallel or not? Are any two of these vectors parallel to each other? - Is ai parallel to a2? choose - Is ai parallel to a3? choose - Is a2 parallel to a3? choose • Part 3: Coordinate representations
Part 3: Coordinate representations Find the coordinate representations of each vector: 1 A2 = • a3 - Part 4: Finding relationships among these vectors Write each of the vectors in terms of the other vectors. Use the names of vectors in your answer (e.g., enter 4a2 - 5a3 for 4a2 – 5a3). Do not enter coordinate representations such as (3, 4). 1 aj = - āz 1 ɑɔ = Part 5: Can we combine these vectors to get the zero vector? If possible, scale and add the vectors ā1, a2, and az to obtain the zero vector 0. If this is not possible, enter DNE. Use the names of vectors in your answer (e.g., enter 4a1 - 5a2 + a3 for 4a1 – 5a2 + a3). Do not enter coordinate representations such as (3, 4). = .
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Transcribed Image Text:Part 3: Coordinate representations Find the coordinate representations of each vector: 1 A2 = • a3 - Part 4: Finding relationships among these vectors Write each of the vectors in terms of the other vectors. Use the names of vectors in your answer (e.g., enter 4a2 - 5a3 for 4a2 – 5a3). Do not enter coordinate representations such as (3, 4). 1 aj = - āz 1 ɑɔ = Part 5: Can we combine these vectors to get the zero vector? If possible, scale and add the vectors ā1, a2, and az to obtain the zero vector 0. If this is not possible, enter DNE. Use the names of vectors in your answer (e.g., enter 4a1 - 5a2 + a3 for 4a1 – 5a2 + a3). Do not enter coordinate representations such as (3, 4). = .
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