Question:

Among the following pairs of vectors, if the resultant of two vectors can never have magnitude 4 units, the magnitudes of the vectors are

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Resultant magnitude always lies between sum and difference of magnitudes.
Updated On: Apr 21, 2026
  • 2 units and 2 units
  • 1 unit and 3 units
  • 5 units and 1 unit
  • 7 units and 2 units
  • 5 units and 8 units
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The Correct Option is D

Solution and Explanation

Concept: \[ |a-b| \le R \le a+b \]

Step 1:
Check range.
For 7 and 2: \[ 5 \le R \le 9 \] Thus 4 is not possible.
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