Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Let \(\vec{a} = 2\hat{i} + 5\hat{j}\) and \(\vec{b} = 7\hat{i} - 3\hat{j}\). Find:

1. \(\vec{a} + \vec{b}\)

2. \(\vec{a} - \vec{b}\)

3. \(2\vec{a}\)

4. \(5\vec{b}\)

5. \(3\vec{a} - 5\vec{b}\)

6. \(2\vec{a} + 3\vec{b}\)

7. \(|\vec{a} - \vec{b}|\)

8. \(|\vec{a} + \vec{b}|\)
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Transcribed Image Text:Let \(\vec{a} = 2\hat{i} + 5\hat{j}\) and \(\vec{b} = 7\hat{i} - 3\hat{j}\). Find: 1. \(\vec{a} + \vec{b}\) 2. \(\vec{a} - \vec{b}\) 3. \(2\vec{a}\) 4. \(5\vec{b}\) 5. \(3\vec{a} - 5\vec{b}\) 6. \(2\vec{a} + 3\vec{b}\) 7. \(|\vec{a} - \vec{b}|\) 8. \(|\vec{a} + \vec{b}|\)
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