10.3. Let x = -5 and y = -3 between the vectors x and y. -3 be two vectors in R³. Find the distance d(x, y)

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Chapter2: Second-order Linear Odes
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**10.3.** Let \(\mathbf{x} = \begin{bmatrix} 7 \\ -5 \\ -3 \end{bmatrix}\) and \(\mathbf{y} = \begin{bmatrix} 3 \\ -3 \\ 1 \end{bmatrix}\) be two vectors in \(\mathbb{R}^3\). Find the distance \(d(\mathbf{x}, \mathbf{y})\) between the vectors \(\mathbf{x}\) and \(\mathbf{y}\).
Transcribed Image Text:**10.3.** Let \(\mathbf{x} = \begin{bmatrix} 7 \\ -5 \\ -3 \end{bmatrix}\) and \(\mathbf{y} = \begin{bmatrix} 3 \\ -3 \\ 1 \end{bmatrix}\) be two vectors in \(\mathbb{R}^3\). Find the distance \(d(\mathbf{x}, \mathbf{y})\) between the vectors \(\mathbf{x}\) and \(\mathbf{y}\).
The image displays a piece of text on what appears to be a computer or digital screen. The text reads as follows:

"10.3     6"

There are no graphs or diagrams associated with this text. This could refer to various metrics or values depending on the context. For instance, it might be:

- A reading from a scientific instrument.
- A score or result from a test (e.g., 10.3 out of a possible 15 points and 6 out of a possible 10 points).
- Data points in a research study or an experiment.
- Database entries or coding logs.

Without additional context, the exact interpretation of these numbers is open to speculation.
Transcribed Image Text:The image displays a piece of text on what appears to be a computer or digital screen. The text reads as follows: "10.3 6" There are no graphs or diagrams associated with this text. This could refer to various metrics or values depending on the context. For instance, it might be: - A reading from a scientific instrument. - A score or result from a test (e.g., 10.3 out of a possible 15 points and 6 out of a possible 10 points). - Data points in a research study or an experiment. - Database entries or coding logs. Without additional context, the exact interpretation of these numbers is open to speculation.
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