Vector Triple Product
The vector triple product a × (b × c) can be written as
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- vector triple product
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
(a · c)b - (a · b)c
- Definition: The vector triple product results in a vector that lies in the plane of b and c.
- BAC-CAB Rule: A famous mnemonic for this identity is:
- a×(b×c)=b(a⋅c)−c(a⋅b).
- Interpretation: It projects a onto the space spanned by b and c.
This hard difficulty mathematics question is from the chapter vector algebra, covering the topic of vector triple product. It appeared in the 2025 exam.
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