Scalar Triple Product
Easymathematics
The scalar triple product [a b c] represents
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Solution
Incorrect! Answer:
Volume of parallelepiped
- Definition: The scalar triple product is [a,b,c]=a⋅(b×c).
- Geometric Significance: The cross product (b×c) gives the area of the base and a normal vector. The dot product with a scales this by the height of the figure.
- Conclusion: It equals the volume of the parallelepiped formed by the three vectors as edges.
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- scalar triple product
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Volume of parallelepiped
- Definition: The scalar triple product is [a,b,c]=a⋅(b×c).
- Geometric Significance: The cross product (b×c) gives the area of the base and a normal vector. The dot product with a scales this by the height of the figure.
- Conclusion: It equals the volume of the parallelepiped formed by the three vectors as edges.
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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