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Physics · MOTION IN A PLANE

हिन्दी

Given below are two statements: Statement I: Vector addition obeys the commutative law, such that \( \mathbf{A} + \mathbf{B} = \mathbf{B} + \mathbf{A} \). Statement II: Vector subtraction also obeys the commutative law, such that \( \mathbf{A} - \mathbf{B} = \mathbf{B} - \mathbf{A} \). In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 3

Statement I is correct but Statement II is incorrect.

Explanation

Statement I is correct because vector addition is commutative. Statement II is incorrect because \( \mathbf{A} - \mathbf{B} = -(\mathbf{B} - \mathbf{A}) \neq \mathbf{B} - \mathbf{A} \).
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