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Vectors F, 5, E, and u are shown on the coordinate plane below. y 6- -6 Select the correct column for each vector to match the vector with its components. Vector (3,-4) (-3,-4) (4,3) (-4,3) in 6.

Vectors F, 5, E, and u are shown on the coordinate plane below. y 6- -6 Select the correct column for each vector to match the vector with its components. Vector (3,-4) (-3,-4) (4,3) (-4,3) in 6.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Vectors on the Coordinate Plane** Vectors \(\vec{r}\), \(\vec{s}\), \(\vec{t}\), and \(\vec{u}\) are shown on the coordinate plane below. **Coordinate Plane Explanation** The coordinate plane features: - A standard grid with axes labelled \(x\) and \(y\). - The axes range from -6 to 6. - The vectors \(\vec{r}\), \(\vec{s}\), \(\vec{t}\), and \(\vec{u}\) are drawn as directed line segments originating from points on the plane. **Vectors Details:** 1. **\(\vec{r}\)** starts at the point (-3, 4) and points towards the origin (0, 0). 2. **\(\vec{s}\)** starts at the point (-3, -4) and points to the point (3, 4). 3. **\(\vec{t}\)** starts at the point (-6, -4) and points towards the origin (0, 0). 4. **\(\vec{u}\)** starts at the point (0, -6) and ends at the point (4, 3). **Interactive Component:** Below the coordinate plane, an interactive table allows students to match each vector with its corresponding components. **Table:** | Vector | (3, -4) | (-3, -4) | (4, 3) | (-4, 3) | |--------|---------|----------|--------|---------| | \(\vec{r}\) | ◯ | ◯ | ◯ | ◯ | | \(\vec{s}\) | ◯ | ◯ | ◯ | ◯ | | \(\vec{t}\) | ◯ | ◯ | ◯ | ◯ | | \(\vec{u}\) | ◯ | ◯ | ◯ | ◯ | Instructions: **Select the correct column for each vector to match the vector with its components.** An understanding of vector coordinates and the ability to trace points on the coordinate plane are essential to accurately complete this exercise. --- This transcription aims to provide a clear and structured explanation suitable for an educational website. Let me know if you need more interactive features or additional context!
Transcribed Image Text:**Vectors on the Coordinate Plane** Vectors \(\vec{r}\), \(\vec{s}\), \(\vec{t}\), and \(\vec{u}\) are shown on the coordinate plane below. **Coordinate Plane Explanation** The coordinate plane features: - A standard grid with axes labelled \(x\) and \(y\). - The axes range from -6 to 6. - The vectors \(\vec{r}\), \(\vec{s}\), \(\vec{t}\), and \(\vec{u}\) are drawn as directed line segments originating from points on the plane. **Vectors Details:** 1. **\(\vec{r}\)** starts at the point (-3, 4) and points towards the origin (0, 0). 2. **\(\vec{s}\)** starts at the point (-3, -4) and points to the point (3, 4). 3. **\(\vec{t}\)** starts at the point (-6, -4) and points towards the origin (0, 0). 4. **\(\vec{u}\)** starts at the point (0, -6) and ends at the point (4, 3). **Interactive Component:** Below the coordinate plane, an interactive table allows students to match each vector with its corresponding components. **Table:** | Vector | (3, -4) | (-3, -4) | (4, 3) | (-4, 3) | |--------|---------|----------|--------|---------| | \(\vec{r}\) | ◯ | ◯ | ◯ | ◯ | | \(\vec{s}\) | ◯ | ◯ | ◯ | ◯ | | \(\vec{t}\) | ◯ | ◯ | ◯ | ◯ | | \(\vec{u}\) | ◯ | ◯ | ◯ | ◯ | Instructions: **Select the correct column for each vector to match the vector with its components.** An understanding of vector coordinates and the ability to trace points on the coordinate plane are essential to accurately complete this exercise. --- This transcription aims to provide a clear and structured explanation suitable for an educational website. Let me know if you need more interactive features or additional context!
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