If the dot product of two nonzero vectors A and B is zero then the magnitude of their cross product is?
Answer: AB
Explanation
If A · B = 0, it means the vectors A and B are perpendicular.
The magnitude of the cross product is:
|A × B| = |A||B|sinθ
For perpendicular vectors, θ = 90°, so sin(90°) = 1
⇒ |A × B| = AB × 1 = AB
This question appeared in
Past Papers (2 times)
KMU CAT Past Papers and Syllabus (2 times)
This question appeared in
Subjects (2 times)
EVERYDAY SCIENCE (2 times)
Related MCQs
- The magnitude of the cross product is equal to the dot product between them. The angle between the two vectors is________________?
- The magnitude of dot and cross product of two vectors is 6√3 and 6 respectively. The angle between _____?
- The cross product of two vectors does not obey ______?
- The cross product of two vectors is negative vector when _____?
- Which of the following is an example of a vector product of two vectors?
- In a market research project, 20% opted for product A whereas 60% opted for product B. The remaining individuals were not certain. If the difference between those who opted for product B and those who were uncertain was 720, how many people were covered in the survey?
- What is the result of the unit vector cross product
- A retailer bought a product from the producer for Rs. 300 and paid a sales tax of 15% and sold the product to customers for Rs. 410. Calculate the profit
- A product sold in rs 480 with a discount of 20% . what was the list price of the product
- The price of a product was reduced by 30%. And the original price of the product is 120 rupees then what is new price of the product?