Physics · MOTION IN A PLANE
हिन्दीGiven 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:
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 \( \mathbf{A} - \mathbf{B} = -(\mathbf{B} - \mathbf{A}) \neq \mathbf{B} - \mathbf{A} \).