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Physics · MOTION IN A PLANE

हिन्दी

Two equal vectors \( \mathbf{A} \) and \( \mathbf{B} \), each of magnitude \( 10\text{ units} \), are inclined at an angle of \( 60^\circ \) to each other. Calculate the magnitude of the vector difference \( |\mathbf{A} - \mathbf{B}| \).

  1. A
    \( 10\sqrt{3}\text{ units} \)
  2. B
    \( 10\text{ units} \)
  3. C
    \( 20\text{ units} \)
  4. D
    \( 0\text{ units} \)
View Answer & Solution

Correct answer · Option B

\( 10\text{ units} \)

Explanation

\( |\mathbf{A} - \mathbf{B}| = \sqrt{A^2 + B^2 - 2AB\cos 60^\circ} = \sqrt{100 + 100 - 200(0.5)} = \sqrt{100} = 10\text{ units} \).
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