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Physics · MOTION IN A PLANE

हिन्दी

For the three-dimensional vector \( \mathbf{A} \) resolved into rectangular components in the figure, if \( A_x = 2\text{ units} \), \( A_y = 3\text{ units} \), and \( A_z = 6\text{ units} \), what is the magnitude of vector \( \mathbf{A} \)?

  1. A
    \( 49\text{ units} \)
  2. B
    \( 11\text{ units} \)
  3. C
    \( 7\text{ units} \)
  4. D
    \( 36\text{ units} \)

Correct answer · Option C

\( 7\text{ units} \)

Explanation

In 3D resolution, \( |\mathbf{A}| = \sqrt{A_x^2 + A_y^2 + A_z^2} = \sqrt{2^2 + 3^2 + 6^2} = \sqrt{4 + 9 + 36} = \sqrt{49} = 7\text{ units} \).
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