Give the names of two methods for vector addition. Write the law of parallelogram for vector addition.
(N/A) The two common methods for vector addition are:
$1$. Triangle Law of Vector Addition.
$2$. Parallelogram Law of Vector Addition.
Parallelogram Law of Vector Addition states that if two vectors acting simultaneously at a point are represented in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point,then their resultant vector is represented in magnitude and direction by the diagonal of the parallelogram passing through that same point.
$1$. Triangle Law of Vector Addition.
$2$. Parallelogram Law of Vector Addition.
Parallelogram Law of Vector Addition states that if two vectors acting simultaneously at a point are represented in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point,then their resultant vector is represented in magnitude and direction by the diagonal of the parallelogram passing through that same point.
Explore More
Similar Questions
Given below in Column $-I$ are the relations between vectors $\vec a$,$\vec b$,and $\vec c$,and in Column $-II$ are the orientations of $\vec a$,$\vec b$,and $\vec c$ in the $XY-$ plane. Match the relation in Column $-I$ to the correct orientations in Column $-II$.
Column $-I$ Column $-II$ $(a) \vec a + \vec b = \vec c$ $(i)$ Vector $\vec a$ is along $+Y$,$\vec c$ is along $+X$,and $\vec b$ connects the origin to the tip of $\vec c$ $(b) \vec a - \vec c = \vec b$ $(ii)$ Vector $\vec a$ is along $+X$,$\vec b$ is along $+Y$,and $\vec c$ connects the origin to the tip of $\vec b$ $(c) \vec b - \vec a = \vec c$ $(iii)$ Vector $\vec c$ is along $+X$,$\vec a$ is along $+Y$,and $\vec b$ connects the tip of $\vec c$ to the tip of $\vec a$ $(d) \vec a + \vec b + \vec c = 0$ $(iv)$ Vector $\vec a$ is along $-X$,$\vec b$ is along $-Y$,and $\vec c$ connects the origin to the tip of $\vec b$
| Column $-I$ | Column $-II$ |
| $(a) \vec a + \vec b = \vec c$ | $(i)$ Vector $\vec a$ is along $+Y$,$\vec c$ is along $+X$,and $\vec b$ connects the origin to the tip of $\vec c$ |
| $(b) \vec a - \vec c = \vec b$ | $(ii)$ Vector $\vec a$ is along $+X$,$\vec b$ is along $+Y$,and $\vec c$ connects the origin to the tip of $\vec b$ |
| $(c) \vec b - \vec a = \vec c$ | $(iii)$ Vector $\vec c$ is along $+X$,$\vec a$ is along $+Y$,and $\vec b$ connects the tip of $\vec c$ to the tip of $\vec a$ |
| $(d) \vec a + \vec b + \vec c = 0$ | $(iv)$ Vector $\vec a$ is along $-X$,$\vec b$ is along $-Y$,and $\vec c$ connects the origin to the tip of $\vec b$ |
Medium
View SolutionThe magnitudes of two vectors are $8$ units and $6$ units respectively. Find the magnitude of the resultant vector if the angle between these two vectors is $(i) \theta = 0^{\circ}$,$(ii) \theta = 180^{\circ}$,$(iii) \theta = 90^{\circ}$,and $(iv) \theta = 120^{\circ}$.
Medium
View SolutionTwo vectors $\vec A$ and $\vec B$ have magnitudes $2$ and $1$ respectively. If the angle between $\vec A$ and $\vec B$ is $60^{\circ}$,then which of the following vectors may be equal to $\frac{\vec A}{2} - \vec B$?
Medium
View SolutionThe magnitudes of vectors $\overrightarrow{A}$,$\overrightarrow{B}$,and $\overrightarrow{C}$ are $12$,$5$,and $13$ units respectively,and $\overrightarrow{A} + \overrightarrow{B} = \overrightarrow{C}$. Then the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is:
Medium
View Solution$ABC$ is an equilateral triangle. The length of each side is $a$ and the centroid is point $O$. If $|\overrightarrow{AB} + \overrightarrow{BC} + \overrightarrow{AC}| = na$,find the value of $n$.
Medium
View SolutionVedclass 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