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Math Calculus CALCULUS (CLOTH)

We need to express u as a linear combination u = r v → + s w → We need to sketch u , v , w and the parallelogram formed by r v → and s w →

We need to express u as a linear combination u = r v → + s w → We need to sketch u , v , w and the parallelogram formed by r v → and s w →

Solution Summary: The author explains that u is a linear combination of r v + s w. The vectors and parallelogram are sketched as shown in the figure.

CALCULUS (CLOTH)

CALCULUS (CLOTH)

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Chapter 13.1, Problem 66E

To determine

We need to express $u$ as a linear combination $u = r \vec{v} + s \vec{w}$

We need to sketch $u, v, w$ and the parallelogram formed by $r \vec{v} and s \vec{w}$

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Chapter 13.1, Problem 65E

Chapter 13.1, Problem 67E

Chapter 13 Solutions

CALCULUS (CLOTH)

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E Ch. 13.1 - Prob. 11E Ch. 13.1 - Prob. 12E Ch. 13.1 - Prob. 13E Ch. 13.1 - Prob. 14E Ch. 13.1 - Prob. 15E Ch. 13.1 - Prob. 16E Ch. 13.1 - Prob. 17E Ch. 13.1 - Prob. 18E Ch. 13.1 - Prob. 19E Ch. 13.1 - Prob. 20E Ch. 13.1 - Prob. 21E Ch. 13.1 - Prob. 22E Ch. 13.1 - Prob. 23E Ch. 13.1 - Prob. 24E Ch. 13.1 - Prob. 25E Ch. 13.1 - Prob. 26E Ch. 13.1 - Prob. 27E Ch. 13.1 - Prob. 28E Ch. 13.1 - Prob. 29E Ch. 13.1 - Prob. 30E Ch. 13.1 - Prob. 31E Ch. 13.1 - Prob. 32E Ch. 13.1 - Prob. 33E Ch. 13.1 - Prob. 34E Ch. 13.1 - Prob. 35E Ch. 13.1 - Prob. 36E Ch. 13.1 - Prob. 37E Ch. 13.1 - Prob. 38E Ch. 13.1 - Prob. 39E Ch. 13.1 - Prob. 40E Ch. 13.1 - Prob. 41E Ch. 13.1 - Prob. 42E Ch. 13.1 - Prob. 43E Ch. 13.1 - Prob. 44E Ch. 13.1 - Prob. 45E Ch. 13.1 - Prob. 46E Ch. 13.1 - Prob. 47E Ch. 13.1 - Prob. 48E Ch. 13.1 - Prob. 49E Ch. 13.1 - Prob. 50E Ch. 13.1 - Prob. 51E Ch. 13.1 - Prob. 52E Ch. 13.1 - Prob. 53E Ch. 13.1 - Prob. 54E Ch. 13.1 - Prob. 55E Ch. 13.1 - Prob. 56E Ch. 13.1 - Prob. 57E Ch. 13.1 - Prob. 58E Ch. 13.1 - Prob. 59E Ch. 13.1 - Prob. 60E Ch. 13.1 - Prob. 61E Ch. 13.1 - Prob. 62E Ch. 13.1 - Prob. 63E Ch. 13.1 - Prob. 64E Ch. 13.1 - Prob. 65E Ch. 13.1 - Prob. 66E Ch. 13.1 - Prob. 67E Ch. 13.1 - Prob. 68E Ch. 13.1 - Prob. 69E Ch. 13.1 - Prob. 70E Ch. 13.1 - Prob. 71E Ch. 13.1 - Prob. 72E Ch. 13.1 - Prob. 73E Ch. 13.1 - Prob. 74E Ch. 13.1 - Prob. 75E Ch. 13.2 - Prob. 1PQ Ch. 13.2 - Prob. 2PQ Ch. 13.2 - Prob. 3PQ Ch. 13.2 - Prob. 4PQ Ch. 13.2 - Prob. 5PQ Ch. 13.2 - Prob. 6PQ Ch. 13.2 - Prob. 7PQ Ch. 13.2 - Prob. 8PQ Ch. 13.2 - Prob. 1E Ch. 13.2 - Prob. 2E Ch. 13.2 - Prob. 3E Ch. 13.2 - Prob. 4E Ch. 13.2 - Prob. 5E Ch. 13.2 - Prob. 6E Ch. 13.2 - Prob. 7E Ch. 13.2 - Prob. 8E Ch. 13.2 - Prob. 9E Ch. 13.2 - Prob. 10E Ch. 13.2 - Prob. 11E Ch. 13.2 - Prob. 12E Ch. 13.2 - Prob. 13E Ch. 13.2 - Prob. 14E Ch. 13.2 - Prob. 15E Ch. 13.2 - Prob. 16E Ch. 13.2 - Prob. 17E Ch. 13.2 - Prob. 18E Ch. 13.2 - Prob. 19E Ch. 13.2 - Prob. 20E Ch. 13.2 - Prob. 21E Ch. 13.2 - Prob. 22E Ch. 13.2 - Prob. 23E Ch. 13.2 - Prob. 24E Ch. 13.2 - Prob. 25E Ch. 13.2 - Prob. 26E Ch. 13.2 - Prob. 27E Ch. 13.2 - Prob. 28E Ch. 13.2 - Prob. 29E Ch. 13.2 - Prob. 30E Ch. 13.2 - Prob. 31E Ch. 13.2 - Prob. 32E Ch. 13.2 - Prob. 33E Ch. 13.2 - Prob. 34E Ch. 13.2 - Prob. 35E Ch. 13.2 - Prob. 36E Ch. 13.2 - Prob. 37E Ch. 13.2 - Prob. 38E Ch. 13.2 - Prob. 39E Ch. 13.2 - Prob. 40E Ch. 13.2 - Prob. 41E Ch. 13.2 - Prob. 42E Ch. 13.2 - Prob. 43E Ch. 13.2 - Prob. 44E Ch. 13.2 - Prob. 45E Ch. 13.2 - Prob. 46E Ch. 13.2 - Prob. 47E Ch. 13.2 - Prob. 48E Ch. 13.2 - Prob. 49E Ch. 13.2 - Prob. 50E Ch. 13.2 - Prob. 51E Ch. 13.2 - Prob. 52E Ch. 13.2 - Prob. 53E Ch. 13.2 - Prob. 54E Ch. 13.2 - Prob. 55E Ch. 13.2 - Prob. 56E Ch. 13.2 - Prob. 57E Ch. 13.2 - Prob. 58E Ch. 13.2 - Prob. 59E Ch. 13.2 - Prob. 60E Ch. 13.2 - Prob. 61E Ch. 13.2 - Prob. 62E Ch. 13.2 - Prob. 63E Ch. 13.2 - Prob. 64E Ch. 13.2 - Prob. 65E Ch. 13.2 - Prob. 66E Ch. 13.2 - Prob. 67E Ch. 13.2 - Prob. 68E Ch. 13.2 - Prob. 69E Ch. 13.2 - Prob. 70E Ch. 13.2 - Prob. 71E Ch. 13.2 - Prob. 72E Ch. 13.2 - Prob. 73E Ch. 13.2 - Prob. 74E Ch. 13.2 - Prob. 75E Ch. 13.2 - Prob. 76E Ch. 13.2 - Prob. 77E Ch. 13.2 - Prob. 78E Ch. 13.2 - Prob. 79E Ch. 13.2 - Prob. 80E Ch. 13.3 - Prob. 1PQ Ch. 13.3 - Prob. 2PQ Ch. 13.3 - Prob. 3PQ Ch. 13.3 - Prob. 4PQ Ch. 13.3 - Prob. 5PQ Ch. 13.3 - Prob. 6PQ Ch. 13.3 - Prob. 1E Ch. 13.3 - Prob. 2E Ch. 13.3 - Prob. 3E Ch. 13.3 - Prob. 4E Ch. 13.3 - Prob. 5E Ch. 13.3 - Prob. 6E Ch. 13.3 - Prob. 7E Ch. 13.3 - Prob. 8E Ch. 13.3 - Prob. 9E Ch. 13.3 - Prob. 10E Ch. 13.3 - Prob. 11E Ch. 13.3 - Prob. 12E Ch. 13.3 - Prob. 13E Ch. 13.3 - Prob. 14E Ch. 13.3 - Prob. 15E Ch. 13.3 - Prob. 16E Ch. 13.3 - Prob. 17E Ch. 13.3 - Prob. 18E Ch. 13.3 - Prob. 19E Ch. 13.3 - Prob. 20E Ch. 13.3 - Prob. 21E Ch. 13.3 - Prob. 22E Ch. 13.3 - Prob. 23E Ch. 13.3 - Prob. 24E Ch. 13.3 - Prob. 25E Ch. 13.3 - Prob. 26E Ch. 13.3 - Prob. 27E Ch. 13.3 - Prob. 28E Ch. 13.3 - Prob. 29E Ch. 13.3 - 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Prob. 78E Ch. 13.3 - Prob. 79E Ch. 13.3 - Prob. 80E Ch. 13.3 - Prob. 81E Ch. 13.3 - Prob. 82E Ch. 13.3 - Prob. 83E Ch. 13.3 - Prob. 84E Ch. 13.3 - Prob. 85E Ch. 13.3 - Prob. 86E Ch. 13.3 - Prob. 87E Ch. 13.3 - Prob. 88E Ch. 13.3 - Prob. 89E Ch. 13.3 - Prob. 90E Ch. 13.3 - Prob. 91E Ch. 13.3 - Prob. 92E Ch. 13.3 - Prob. 93E Ch. 13.3 - Prob. 94E Ch. 13.3 - Prob. 95E Ch. 13.3 - Prob. 96E Ch. 13.3 - Prob. 97E Ch. 13.3 - Prob. 98E Ch. 13.3 - Prob. 99E Ch. 13.3 - Prob. 100E Ch. 13.3 - Prob. 101E Ch. 13.3 - Prob. 102E Ch. 13.3 - Prob. 103E Ch. 13.3 - Prob. 104E Ch. 13.3 - Prob. 105E Ch. 13.4 - Prob. 1PQ Ch. 13.4 - Prob. 2PQ Ch. 13.4 - Prob. 3PQ Ch. 13.4 - Prob. 4PQ Ch. 13.4 - Prob. 5PQ Ch. 13.4 - Prob. 6PQ Ch. 13.4 - Prob. 7PQ Ch. 13.4 - Prob. 8PQ Ch. 13.4 - Prob. 1E Ch. 13.4 - Prob. 2E Ch. 13.4 - Prob. 3E Ch. 13.4 - Prob. 4E Ch. 13.4 - Prob. 5E Ch. 13.4 - Prob. 6E Ch. 13.4 - Prob. 7E Ch. 13.4 - Prob. 8E Ch. 13.4 - Prob. 9E Ch. 13.4 - Prob. 10E Ch. 13.4 - Prob. 11E Ch. 13.4 - Prob. 12E Ch. 13.4 - 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Prob. 21E Ch. 13.5 - Prob. 22E Ch. 13.5 - Prob. 23E Ch. 13.5 - Prob. 24E Ch. 13.5 - Prob. 25E Ch. 13.5 - Prob. 26E Ch. 13.5 - Prob. 27E Ch. 13.5 - Prob. 28E Ch. 13.5 - Prob. 29E Ch. 13.5 - Prob. 30E Ch. 13.5 - Prob. 31E Ch. 13.5 - Prob. 32E Ch. 13.5 - Prob. 33E Ch. 13.5 - Prob. 34E Ch. 13.5 - Prob. 35E Ch. 13.5 - Prob. 36E Ch. 13.5 - Prob. 37E Ch. 13.5 - Prob. 38E Ch. 13.5 - Prob. 39E Ch. 13.5 - Prob. 40E Ch. 13.5 - Prob. 41E Ch. 13.5 - Prob. 42E Ch. 13.5 - Prob. 43E Ch. 13.5 - Prob. 44E Ch. 13.5 - Prob. 45E Ch. 13.5 - Prob. 46E Ch. 13.5 - Prob. 47E Ch. 13.5 - Prob. 48E Ch. 13.5 - Prob. 49E Ch. 13.5 - Prob. 50E Ch. 13.5 - Prob. 51E Ch. 13.5 - Prob. 52E Ch. 13.5 - Prob. 53E Ch. 13.5 - Prob. 54E Ch. 13.5 - Prob. 55E Ch. 13.5 - Prob. 56E Ch. 13.5 - Prob. 57E Ch. 13.5 - Prob. 58E Ch. 13.5 - Prob. 59E Ch. 13.5 - Prob. 60E Ch. 13.5 - Prob. 61E Ch. 13.5 - Prob. 62E Ch. 13.5 - Prob. 63E Ch. 13.5 - Prob. 64E Ch. 13.5 - Prob. 65E Ch. 13.5 - Prob. 66E Ch. 13.5 - Prob. 67E Ch. 13.5 - Prob. 68E Ch. 13.5 - 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