Scalar Triple Product
Easymathematics
Three vectors a, b, c are coplanar if their scalar triple product is
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Solution
Incorrect! Answer:
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- Definition of Coplanar: All three vectors lie in the same flat plane.
- Volume Interpretation: If vectors are in the same plane, the 'parallelepiped' they form has zero height.
- Condition: Therefore, the volume (Scalar Triple Product) must be 0.
- Linear Dependence: This also implies that the vectors are linearly dependent.
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The scalar triple product [a b c] represents
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- scalar triple product
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
0
- Definition of Coplanar: All three vectors lie in the same flat plane.
- Volume Interpretation: If vectors are in the same plane, the 'parallelepiped' they form has zero height.
- Condition: Therefore, the volume (Scalar Triple Product) must be 0.
- Linear Dependence: This also implies that the vectors are linearly dependent.
This easy difficulty mathematics question is from the chapter vector algebra, covering the topic of scalar triple product. It appeared in the 2025 exam.
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