Vector Properties
Easymathematics
The property a × b = -(b × a) shows that cross product is
Select the correct option:
Solution
Incorrect! Answer:
Anti-commutative
- Comparison to Algebra: In standard multiplication, a×b=b×a.
- Vector Specifics: In cross products, the direction depends on the order of arguments (Right-Hand Rule).
- Result: Swapping the order results in a vector of equal magnitude but exactly opposite direction (sign change).
- Identification: This behavior is called anti-commutative property.
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- vector properties
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Anti-commutative
- Comparison to Algebra: In standard multiplication, a×b=b×a.
- Vector Specifics: In cross products, the direction depends on the order of arguments (Right-Hand Rule).
- Result: Swapping the order results in a vector of equal magnitude but exactly opposite direction (sign change).
- Identification: This behavior is called anti-commutative property.
This easy difficulty mathematics question is from the chapter vector algebra, covering the topic of vector properties. It appeared in the 2025 exam.
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