Vector Applications
The area of triangle with adjacent sides represented by vectors a and b is
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- vector applications
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
(1/2)|a × b|
- Geometry Connection: The area of a parallelogram with sides a and b is ∣a×b∣.
- Triangle Relation: A triangle formed by these two vectors as adjacent sides is exactly half of that parallelogram.
- Result: Area =21∣a×b∣.
This medium difficulty mathematics question is from the chapter vector algebra, covering the topic of vector applications. It appeared in the 2025 exam.
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