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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

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

Vedclass · Answer

(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?

Similar Questions

Let $\vec{C} = \vec{A} + \vec{B}$,then:

The sum of the magnitudes of two vectors $\vec{A}$ and $\vec{B}$ is $8$,and the magnitude of their resultant is $4$. If the resultant vector is perpendicular to one of the vectors,then the magnitudes of the two vectors $\vec{A}$ and $\vec{B}$ are:

Two vectors of the same magnitude have a resultant equal to either of the two vectors. The angle between the two vectors is: (in $^{\circ}$)

Is it possible that $\vec{A} + \vec{B} = \vec{A} - \vec{B}$?

Which of the following relations is true for two unit vectors $\hat{A}$ and $\hat{B}$ making an angle $\theta$ to each other?

Vedclass Test Series

Exam Paper Generator

Online Exam Module