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Physics · MOTION IN A PLANE

हिन्दी

The rectangular components of a vector in a plane are \( A_x = 6\text{ units} \) and \( A_y = 6\sqrt{3}\text{ units} \). The angle \( \theta \) made by the vector with the positive x-axis is:

  1. \( 30^\circ \)
  2. \( 60^\circ \)
  3. \( 45^\circ \)
  4. \( 90^\circ \)

Correct answer · Option 2

\( 60^\circ \)

Explanation

\( \tan\theta = \frac{A_y}{A_x} = \frac{6\sqrt{3}}{6} = \sqrt{3} \). Therefore, \( \theta = \tan^{-1}(\sqrt{3}) = 60^\circ \).
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