Cross Product
Easymathematics
If two vectors are parallel, their cross product is
Select the correct option:
Solution
Incorrect! Answer:
0 (zero vector)
- Identify Orientation: Parallel vectors have an angle θ=0∘ (same direction) or 180∘ (opposite direction).
- Check Magnitude: ∣a×b∣=∣a∣∣b∣sinθ.
- Trig Property: sin0∘=0 and sin180∘=0.
- Result: The magnitude is zero, therefore the result is the Zero Vector (0).
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About This Question
- Subject
- mathematics
- Chapter
- vector algebra
- Topic
- cross product
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
0 (zero vector)
- Identify Orientation: Parallel vectors have an angle θ=0∘ (same direction) or 180∘ (opposite direction).
- Check Magnitude: ∣a×b∣=∣a∣∣b∣sinθ.
- Trig Property: sin0∘=0 and sin180∘=0.
- Result: The magnitude is zero, therefore the result is the Zero Vector (0).
This easy difficulty mathematics question is from the chapter vector algebra, covering the topic of cross product. It appeared in the 2025 exam.
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