The magnitude of the X and Y component of vec | vedclass

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

Question

Let $\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}$

Given $A_{x}=7$ and $A_{y}=6$

$\mathrm{R}_{\mathrm{x}}

Vedclass · Accepted Answer

$5$

Vedclass · Answer

Let $\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}$

Given $A_{x}=7$ and $A_{y}=6$

$\mathrm{R}_{\mathrm{x}}=11$ and $\mathrm{R}_{\mathrm{y}}=9$

$\begin{aligned} 	herefore \mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}} \=11-7=4 \ \mathrm{B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=9-6 &=3 \ \mathrm{B}=\sqrt{\mathrm{B}_{\mathrm{x}}^{2}+\mathrm{B}_{\mathrm{y}}^{2}} \=\sqrt{4^{2}+3^{2}}=5 \end{aligned}$

The magnitude of the $X$ and $Y$ component of $\vec A$ are $7$ and $6$ respectively. Also the magnitude of $X$ and $Y$ component of $\vec A + \vec B$ are $11$ and $9$ respectively. What is the magnitude of $\vec B$ ?

Similar Questions

A vector $\vec Q$ which has a magnitude of $8$ is added to the vector $\vec P$ which lies along $x-$ axis. The resultant of two vectors lies along $y-$ axis and has magnitude twice that of $\vec P$. The magnitude of is $\vec P$

Three forces acting on a body are shown in the figure. To have the resultant force only along the $y-$ direction, the magnitude of the minimum additional force needed is ........... $N$

A force of $5\, N$acts on a particle along a direction making an angle of $60^°$ with vertical. Its vertical component be.......$N$

Four forces are acting at a point $P$ in equilibrium as shown in figure. The ratio of force $F_{1}$ to $F_{2}$ is $1: x$ where $x =....$

The magnitude of pairs of displacement vectors are given. Which pair of displacement vectors cannot be added to give a resultant vector of magnitude $13\, cm$?