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AP EAMCET · PHYSICS · Mathematics in Physics

For the resultant of two vectors \(\mathbf{A}\) and \(\mathbf{B}\) to maximum, the angle between them should be

  1. A \(180^{\circ}\)
  2. B \(0^{\circ}\)
  3. C \(90^{\circ}\)
  4. D \(60^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0^{\circ}\)

Step-by-step Solution

Detailed explanation

We know that, the magnitude of resultant of two vectors \(\mathbf{A}\) and \(\mathbf{B}\), \(R=\sqrt{A^2+B^2+2 A B \cos \theta}\) Here, \(R \rightarrow R_{\max }\), when \(\cos \theta\) is maximum i.e. \(\cos \theta=1\) \(\theta=0^{\circ}\) Now, we get…