In The objects shown below have experienced the rotations given by the arrow codings. the space provided, indicate an equivalent rotation code that would produce the same image. 1+x) 1+Y f+Y

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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14

**Rotation Exercise**

The objects shown below have experienced the rotations given by the arrow codings. In the space provided, indicate an equivalent rotation code that would produce the same image.

### Diagrams:

1. **Object 1**: 
   - Shows an isometric shape initially aligned with the coordinate system labeled with X, Y, and Z axes.
   - Rotation Code: -Z (indicating a rotation around the Z-axis in the negative direction)

2. **Object 2**: 
   - Displays a similar isometric shape after rotation, demonstrating a different orientation.
   - Rotation Code: +Y (indicating a rotation around the Y-axis in the positive direction)

3. **Object 3**: 
   - Another isometric shape shown with a distinct alignment after rotation.
   - Rotation Code: +X (indicating a rotation around the X-axis in the positive direction)

4. **Object 4**: 
   - Shows a complex isometric figure, rotated into a new position.
   - Rotation Code: +Z (indicating a rotation around the Z-axis in the positive direction)

### Explanation:

Each isometric shape is shown before and after rotation. The arrows on each coordinate axis indicate the direction of rotation. For example, a “+Z” rotation implies a clockwise rotation when looking from the positive end of the Z-axis, while a “-Z” rotation implies a counterclockwise rotation from the same view.

### Task:

Your task is to visualize and determine equivalent rotation codes that would yield the same final orientation as shown in each example. Understanding these rotations is crucial for spatial reasoning and applications in areas such as 3D modeling and computer graphics.
Transcribed Image Text:**Rotation Exercise** The objects shown below have experienced the rotations given by the arrow codings. In the space provided, indicate an equivalent rotation code that would produce the same image. ### Diagrams: 1. **Object 1**: - Shows an isometric shape initially aligned with the coordinate system labeled with X, Y, and Z axes. - Rotation Code: -Z (indicating a rotation around the Z-axis in the negative direction) 2. **Object 2**: - Displays a similar isometric shape after rotation, demonstrating a different orientation. - Rotation Code: +Y (indicating a rotation around the Y-axis in the positive direction) 3. **Object 3**: - Another isometric shape shown with a distinct alignment after rotation. - Rotation Code: +X (indicating a rotation around the X-axis in the positive direction) 4. **Object 4**: - Shows a complex isometric figure, rotated into a new position. - Rotation Code: +Z (indicating a rotation around the Z-axis in the positive direction) ### Explanation: Each isometric shape is shown before and after rotation. The arrows on each coordinate axis indicate the direction of rotation. For example, a “+Z” rotation implies a clockwise rotation when looking from the positive end of the Z-axis, while a “-Z” rotation implies a counterclockwise rotation from the same view. ### Task: Your task is to visualize and determine equivalent rotation codes that would yield the same final orientation as shown in each example. Understanding these rotations is crucial for spatial reasoning and applications in areas such as 3D modeling and computer graphics.
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