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Suppose ū — i — j, v = −2i + 4j +3k and w = −5i + 4j. Compute the following values: |u| + |v|=| |-6u| +4v|= |2u - 6v + w|=| 1 w |=| W=

Suppose ū — i — j, v = −2i + 4j +3k and w = −5i + 4j. Compute the following values: |u| + |v|=| |-6u| +4v|= |2u - 6v + w|=| 1 w |=| W=

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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Suppose \( \mathbf{u} = \mathbf{i} - \mathbf{j} \), \( \mathbf{v} = -2\mathbf{i} + 4\mathbf{j} + 3\mathbf{k} \), and \( \mathbf{w} = -5\mathbf{i} + 4\mathbf{j} \). Compute the following values: 1. \( |\mathbf{u}| + |\mathbf{v}| = \) [input box] 2. \( |-6\mathbf{u}| + 4|\mathbf{v}| = \) [input box] 3. \( |2\mathbf{u} - 6\mathbf{v} + \mathbf{w}| = \) [input box] 4. \( \left| \frac{1}{|\mathbf{w}|} \mathbf{w} \right| = \) [input box] 5. \( \left| \frac{1}{|\mathbf{w}|} \right| \mathbf{w} = \) [input box]
Transcribed Image Text:Suppose \( \mathbf{u} = \mathbf{i} - \mathbf{j} \), \( \mathbf{v} = -2\mathbf{i} + 4\mathbf{j} + 3\mathbf{k} \), and \( \mathbf{w} = -5\mathbf{i} + 4\mathbf{j} \). Compute the following values: 1. \( |\mathbf{u}| + |\mathbf{v}| = \) [input box] 2. \( |-6\mathbf{u}| + 4|\mathbf{v}| = \) [input box] 3. \( |2\mathbf{u} - 6\mathbf{v} + \mathbf{w}| = \) [input box] 4. \( \left| \frac{1}{|\mathbf{w}|} \mathbf{w} \right| = \) [input box] 5. \( \left| \frac{1}{|\mathbf{w}|} \right| \mathbf{w} = \) [input box]
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