Question:
The moment about the point \( 2i + 3j + k \) of a force represented by \( i + j + k \) acting through the point \( 2i + 3j + k \) is
The moment about the point \( 2i + 3j + k \) of a force represented by \( i + j + k \) acting through the point \( 2i + 3j + k \) is
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The moment of a force is calculated using the cross product of the position vector and the force vector.
Updated On: Jan 12, 2026
- \( 3i + 3j + k \)
- \( -i -j -k \)
- \( i -j -k \)
- \( 3i + 3j + 3k \)
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The Correct Option is B
Solution and Explanation
Step 1: Use the Cross Product Formula for Moment.
The moment of a force about a point is given by the cross product of the position vector and the force vector. After applying the formula for the given vectors, we get \( -i - j - k \).
Step 2: Conclusion.
The correct answer is (B), \( -i - j - k \).
The moment of a force about a point is given by the cross product of the position vector and the force vector. After applying the formula for the given vectors, we get \( -i - j - k \).
Step 2: Conclusion.
The correct answer is (B), \( -i - j - k \).
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