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F = (-5i +4j+3k)kN A,

F = (-5i +4j+3k)kN A,

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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**Part A** **Diagram Description:** The diagram is a three-dimensional representation with x, y, and z axes. A force vector \( \mathbf{F} = (-5\mathbf{i} + 4\mathbf{j} + 3\mathbf{k}) \text{kN} \) is applied at point \( A \). The location of point \( A \) is directly above a reference point \( P \) on the x-y plane. The coordinates of \( A \) are given by the position vector which indicates 2 meters along the x-axis, 2 meters along the y-axis, and 3 meters along the z-axis from the origin. **Task:** Determine the moment of the force at \( A \) about point \( P \). Use a vector analysis to express the result in Cartesian vector form. **Options:** - \( \mathbf{M}_P = (-6\mathbf{i} + 6\mathbf{j} - 4\mathbf{k}) \text{kN}\cdot \text{m} \) - \( \mathbf{M}_P = (24\mathbf{i} + 8\mathbf{j} + 9\mathbf{k}) \text{kN}\cdot \text{m} \) - \( \mathbf{M}_P = (-6\mathbf{i} - 3\mathbf{j} - 6\mathbf{k}) \text{kN}\cdot \text{m} \) - \( \mathbf{M}_P = (24\mathbf{i} - 8\mathbf{j} + 9\mathbf{k}) \text{kN}\cdot \text{m} \) **Instructions:** Select the correct moment vector from the options, and click "Submit" to confirm your answer. For more practice and solution explanation, feel free to request an answer.
Transcribed Image Text:**Part A** **Diagram Description:** The diagram is a three-dimensional representation with x, y, and z axes. A force vector \( \mathbf{F} = (-5\mathbf{i} + 4\mathbf{j} + 3\mathbf{k}) \text{kN} \) is applied at point \( A \). The location of point \( A \) is directly above a reference point \( P \) on the x-y plane. The coordinates of \( A \) are given by the position vector which indicates 2 meters along the x-axis, 2 meters along the y-axis, and 3 meters along the z-axis from the origin. **Task:** Determine the moment of the force at \( A \) about point \( P \). Use a vector analysis to express the result in Cartesian vector form. **Options:** - \( \mathbf{M}_P = (-6\mathbf{i} + 6\mathbf{j} - 4\mathbf{k}) \text{kN}\cdot \text{m} \) - \( \mathbf{M}_P = (24\mathbf{i} + 8\mathbf{j} + 9\mathbf{k}) \text{kN}\cdot \text{m} \) - \( \mathbf{M}_P = (-6\mathbf{i} - 3\mathbf{j} - 6\mathbf{k}) \text{kN}\cdot \text{m} \) - \( \mathbf{M}_P = (24\mathbf{i} - 8\mathbf{j} + 9\mathbf{k}) \text{kN}\cdot \text{m} \) **Instructions:** Select the correct moment vector from the options, and click "Submit" to confirm your answer. For more practice and solution explanation, feel free to request an answer.
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