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Question: Answered & Verified by Expert
If A and B are two vectors satisfying the relation A·B=|A×B|. Then the value of |A-B| will be:
PhysicsMathematics in PhysicsJEE MainJEE Main 2021 (20 Jul Shift 1)
Options:
  • A A2+B2
  • B A2+B2+2AB
  • C A2+B2+2AB
  • D A2+B2-2AB
Solution:
1166 Upvotes Verified Answer
The correct answer is: A2+B2-2AB
A·B=|A×B|
ABcosθ=ABsinθθ=45°
|A-B|=A2+B2-2ABcos45°
=A2+B2-2AB
Hence option (4).

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