Explanation Given: u = 〈 6 , − 2 〉 , v = 〈 1 , 1 〉 , w = 〈 1 , − 1 〉 Calculation: u = 〈 6 , − 2 〉 = r 〈 1 , 1 〉 + s 〈 1 , − 1 〉 ⇒ 6 = r + s ... ( 1 ) − 2 = r − s .....

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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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

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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

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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.

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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 $r \vec{v} and s \vec{w}$

Want to see the full answer?

Chapter 13 Solutions

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.

Concept explainers

Videos

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

Want to see the full answer?

Chapter 13 Solutions

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 $r \vec{v} and s \vec{w}$