If overrightarrow{R} is the resultant vector | vedclass

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

Question

(B) According to the triangle law of vector addition,the magnitude of the resultant vector $\overrightarrow{R} = \overrightarrow{A} + \overrightarrow{

Vedclass · Accepted Answer

less than or equal to

Vedclass · Answer

(B) According to the triangle law of vector addition,the magnitude of the resultant vector $\overrightarrow{R} = \overrightarrow{A} + \overrightarrow{B}$ is given by $|\overrightarrow{R}| = \sqrt{|\overrightarrow{A}|^2 + |\overrightarrow{B}|^2 + 2|\overrightarrow{A}| |\overrightarrow{B}| \cos 	heta}$,where $	heta$ is the angle between the vectors.Since the maximum value of $\cos 	heta$ is $1$ (when $	heta = 0^\circ$),the maximum value of $|\overrightarrow{R}|$ is $|\overrightarrow{A}| + |\overrightarrow{B}|$.For any other angle,$|\overrightarrow{R}|$ will be less than $|\overrightarrow{A}| + |\overrightarrow{B}|$.Therefore,the relationship is $|\overrightarrow{R}| \leq |\overrightarrow{A}| + |\overrightarrow{B}|$.

If $\overrightarrow{R}$ is the resultant vector of two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$,then $|\overrightarrow{R}|$ is . . . . . . $|\overrightarrow{A}| + |\overrightarrow{B}|$.

Similar Questions

Vectors $\vec{A}$ and $\vec{B}$ make angles of $20^\circ$ and $110^\circ$ with the $x$-axis,respectively. The magnitudes of these vectors are $5 \ m$ and $12 \ m$,respectively. The angle that their resultant vector makes with the $x$-axis is:

The resultant of two vectors $\overrightarrow{P}$ and $\overrightarrow{Q}$ has a magnitude $R_{1}$. If the direction of $\overrightarrow{Q}$ is reversed,the resultant has a magnitude $R_{2}$. The value of $(R_{1}^{2} + R_{2}^{2})$ is:

If the sum of two unit vectors is a unit vector,then the magnitude of their difference is

If the angle between two vectors $A$ and $B$ is $120^{\circ}$,then their resultant $C$ will be:

The sum of the magnitudes of two forces acting at a point is $16 \,N$. If their resultant is normal to the smaller force and has a magnitude of $8 \,N$, then the forces are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module