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MHT CET · Physics · Mathematics in Physics

The resultant of two vectors \(\vec{A}\) and \(\vec{B}\) is \(\vec{C}\). If the magnitude of \(\vec{B}\) is doubled, the new resultant vector becomes perpendicular to \(\vec{A}\), then the magnitude of \(\overrightarrow{\mathrm{C}}\) is

  1. A \(4 B\)
  2. B 3 B
  3. C B
  4. D 2 B
Verified Solution

Answer & Solution

Correct Answer

(C) B

Step-by-step Solution

Detailed explanation

\((\vec{A} + 2\vec{B}) \cdot \vec{A} = 0\) \(A^2 + 2\vec{A} \cdot \vec{B} = 0\)