Let vec{A} and vec{B} be two non-zero vectors | vedclass

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(C) Vector addition is commutative, which means the order of addition does not change the result.For any two vectors $\vec{A}$ and $\vec{B}$, the sum

Vedclass · Accepted Answer

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

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(C) Vector addition is commutative, which means the order of addition does not change the result.For any two vectors $\vec{A}$ and $\vec{B}$, the sum $\vec{A} + \vec{B}$ is equal to $\vec{B} + \vec{A}$.Let us analyze the other options:$1$. The dot product is commutative, so $\vec{A} \cdot \vec{B} = \vec{B} \cdot \vec{A}$, making option $A$ incorrect.$2$. The cross product is anti-commutative, so $\vec{A} 	imes \vec{B} = -(\vec{B} 	imes \vec{A})$, making option $B$ incorrect.$3$. Vector subtraction is not commutative, so $\vec{A} - \vec{B} = -(\vec{B} - \vec{A})$, making option $D$ incorrect.Therefore, the correct equation is $\vec{A} + \vec{B} = \vec{B} + \vec{A}$.

Let $\vec{A}$ and $\vec{B}$ be two non-zero vectors of different magnitudes. Which one of the following is the correct equation?

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