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Physics · JEE | MOTION IN A PLANE

हिन्दी

If a vector \( \mathbf{A} \) in the \( x\text{-}y \) plane makes an angle \( \theta \) with the \( x\text{-axis} \), its rectangular components \( A_x \) and \( A_y \) are given by:

  1. A
    \( A_x = A\cos\theta, \quad A_y = A\sin\theta \)
  2. B
    \( A_x = A\sin\theta, \quad A_y = A\cos\theta \)
  3. C
    \( A_x = A\tan\theta, \quad A_y = A\cot\theta \)
  4. D
    \( A_x = A\cos^2\theta, \quad A_y = A\sin^2\theta \)
View Answer & Solution

Correct answer · Option A

\( A_x = A\cos\theta, \quad A_y = A\sin\theta \)

Explanation

Using simple trigonometry in right-angled triangles formed by components, \( A_x = A\cos\theta \) and \( A_y = A\sin\theta \).
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