Physics - Vectors Question with Solution | TestHub

Vector addition follows the commutative law, which means the order of addition does not change the result.

$\vec{A}+\vec{B}=\vec{B}+\vec{A}$

The dot product is commutative, so $\vec{A}\cdot \vec{B}=\vec{B}\cdot \vec{A}$.

The cross product is anti-commutative, so $\vec{A}\times \vec{B}=-\vec{B}\times \vec{A}$.

Vector subtraction is not commutative, so $\vec{A}-\vec{B}=-(\vec{B}-\vec{A})$.

Answer: $\vec{A}+\vec{B}=\vec{B}+\vec{A}$