Write two properties of vector addition.
(N/A) The two properties of vector addition are:
$1$. Commutative Law: Vector addition is commutative,which means the order of addition does not change the resultant vector. Mathematically,$\vec{A} + \vec{B} = \vec{B} + \vec{A}$.
$2$. Associative Law: Vector addition is associative,which means when adding three vectors,the grouping of the vectors does not change the resultant. Mathematically,$(\vec{A} + \vec{B}) + \vec{C} = \vec{A} + (\vec{B} + \vec{C})$.
$1$. Commutative Law: Vector addition is commutative,which means the order of addition does not change the resultant vector. Mathematically,$\vec{A} + \vec{B} = \vec{B} + \vec{A}$.
$2$. Associative Law: Vector addition is associative,which means when adding three vectors,the grouping of the vectors does not change the resultant. Mathematically,$(\vec{A} + \vec{B}) + \vec{C} = \vec{A} + (\vec{B} + \vec{C})$.
Explore More
Similar Questions
The vector sum of two forces is perpendicular to their vector difference. In this case,the forces:
Easy
View SolutionTwo vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are at an angle of $60^{\circ}$ with each other. Their resultant makes an angle of $45^{\circ}$ with $\overrightarrow{a}$. If $|\vec{b}|=2$ units,then $|\vec{a}|$ is
Explain the parallelogram method for vector addition. Also,explain how this is comparable to the triangle method.
Medium
View SolutionThe resultant of two vectors $\vec{A}$ and $\vec{B}$ is $\vec{R_1}$. If vector $\vec{B}$ is reversed,the resultant becomes $\vec{R_2}$. What is the value of $R_1^2 + R_2^2$?
Medium
View SolutionThe magnitude of the sum of the two vectors $\vec{A}$ and $\vec{B}$ is equal to the magnitude of the difference of the two vectors $\vec{A}$ and $\vec{B}$. The angle between $\vec{A}$ and $\vec{B}$ is: (in $^{\circ}$)
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo