OnlineCBT
Physics · WORK, ENERGY AND POWER
हिन्दीGiven below are two statements: Statement I: The scalar product of two vectors is non-commutative, such that \( \mathbf{A}\cdot\mathbf{B} = -\mathbf{B}\cdot\mathbf{A} \). Statement II: The scalar product of two vectors does not obey the distributive law over vector addition. In the light of the above statements, choose the most appropriate answer from the options given below:
Correct answer · Option 2
Both Statement I and Statement II are incorrect.
Explanation
The scalar product is commutative (\( \mathbf{A}\cdot\mathbf{B} = \mathbf{B}\cdot\mathbf{A} \)) and obeys the distributive law (\( \mathbf{A}\cdot(\mathbf{B}+\mathbf{C}) = \mathbf{A}\cdot\mathbf{B} + \mathbf{A}\cdot\mathbf{C} \)). Hence, both statements are incorrect.
