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

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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 $\vec B$ ?

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