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Question: Answered & Verified by Expert
$\overrightarrow{\mathbf{A}}$ and $\overrightarrow{\mathbf{B}}$ are two vectors of equal magnitudes and $\theta$ is the angle between them. The angle between $\overrightarrow{\mathbf{A}}$ or $\overrightarrow{\mathbf{B}}$ with their resultant is
PhysicsMathematics in PhysicsTS EAMCETTS EAMCET 2010
Options:
  • A $\frac{\theta}{4}$
  • B $\frac{\theta}{2}$
  • C $2 \theta$
  • D zero
Solution:
1555 Upvotes Verified Answer
The correct answer is: $\frac{\theta}{2}$


If $\overrightarrow{\mathbf{A}}$ and $\overrightarrow{\mathbf{B}}$ having equal magnitudes they will make equal angles from resultant $\overrightarrow{\mathbf{R}}$ If angle between $\overrightarrow{\mathbf{A}}$ and $\overrightarrow{\mathbf{B}}$ is $\theta$. Then the angle between $\overrightarrow{\mathbf{A}}$ or $\overrightarrow{\mathbf{B}}$ with their resultant is $\frac{\theta}{2}$.

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