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MHT CET202013 Oct 2020Evening ShiftPhysicsMathematics in PhysicsActual

The sum of the magnitudes of two vectors A and B is 8 and magnitude of the resultant is 4. If the resultant vector is perpendicular to any one vector, then the magnitudes of the two vectors A and B are

Options

  1. A3,5
  2. B2,6
  3. C4,4
  4. D1, 7

Correct answer

A. 3,5

Step-by-step solution

aligned &| A |=5 &| B |=8-5 &=3 aligned | A + B |=4| A |+| B |=8 abo . A |²=| B |²| R |²| A |²=(8-| A |)²+4²| A |²=64+| A |²-16| A |+16580=16| A | A = 5

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