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Rotate the objects shown below by the indicated amount and sketch the result in the space provided. You do not need to include the coordinate axes in your sketch.

Rotate the objects shown below by the indicated amount and sketch the result in the space provided. You do not need to include the coordinate axes in your sketch.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Rotate the objects shown below by the indicated amount and sketch the result in the space provided. You do not need to include the coordinate axes in your sketch.

### Description of the Diagram The diagram shows a three-dimensional coordinate system with axes labeled X, Y, and Z. The axes are represented by arrows, with the positive direction indicated for each axis. The Z-axis is shown with a circular arrow labeled "+Z," indicating the positive rotation direction. ### 3D Object Representation In the diagram, there is a three-dimensional block structure placed on a dotted grid. The structure is composed of six unit cubes arranged in an L-shape. Here’s a breakdown of how they're arranged: - **Base Layer (Bottom View):** - Three unit cubes aligned along the Z and X axes, forming an L-shape. - **Upper Layer (Top View):** - Two unit cubes are stacked directly above two of the cubes on the base layer, forming a second L-shape on top of the first. ### Spatial Understanding - **Coordinate System:** - The intersection point of the axes (origin) is not explicitly shown, but the axes indicate a classic right-handed coordinate system. - **Grid:** - The dotted grid serves as a spatial reference, helping visualize the positioning of the cubes in the three-dimensional space. This visual setup can help students understand spatial reasoning, three-dimensional geometry, and how to navigate within a coordinate system using a simple block structure.
Transcribed Image Text:### Description of the Diagram The diagram shows a three-dimensional coordinate system with axes labeled X, Y, and Z. The axes are represented by arrows, with the positive direction indicated for each axis. The Z-axis is shown with a circular arrow labeled "+Z," indicating the positive rotation direction. ### 3D Object Representation In the diagram, there is a three-dimensional block structure placed on a dotted grid. The structure is composed of six unit cubes arranged in an L-shape. Here’s a breakdown of how they're arranged: - **Base Layer (Bottom View):** - Three unit cubes aligned along the Z and X axes, forming an L-shape. - **Upper Layer (Top View):** - Two unit cubes are stacked directly above two of the cubes on the base layer, forming a second L-shape on top of the first. ### Spatial Understanding - **Coordinate System:** - The intersection point of the axes (origin) is not explicitly shown, but the axes indicate a classic right-handed coordinate system. - **Grid:** - The dotted grid serves as a spatial reference, helping visualize the positioning of the cubes in the three-dimensional space. This visual setup can help students understand spatial reasoning, three-dimensional geometry, and how to navigate within a coordinate system using a simple block structure.
**Instructions for Rotation Exercise** Rotate the objects shown below by the indicated amount in the space provided. You do not need to include the coordinate axes. **Diagram Details:** The image features a three-dimensional shape formed by connected cubes, resembling a staircase structure. The shape consists of three layers of cubes arranged in an L-shaped configuration. - **Axes:** Three labeled axes—X, Y, and Z—define orientation. The Y-axis points upwards, while the X and Z axes point horizontally and diagonally, originating from a common point. - **Rotation Indicators:** Three circular arrows labeled with "+Y" are shown below the diagram, indicating rotations about the Y-axis. **Grid:** A dotted grid serves as the background, providing a reference for positioning and rotating the shape accurately.
Transcribed Image Text:**Instructions for Rotation Exercise** Rotate the objects shown below by the indicated amount in the space provided. You do not need to include the coordinate axes. **Diagram Details:** The image features a three-dimensional shape formed by connected cubes, resembling a staircase structure. The shape consists of three layers of cubes arranged in an L-shaped configuration. - **Axes:** Three labeled axes—X, Y, and Z—define orientation. The Y-axis points upwards, while the X and Z axes point horizontally and diagonally, originating from a common point. - **Rotation Indicators:** Three circular arrows labeled with "+Y" are shown below the diagram, indicating rotations about the Y-axis. **Grid:** A dotted grid serves as the background, providing a reference for positioning and rotating the shape accurately.
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