Question

Two forces $F_1=1N$ and $F_2=2N$ act along the lines $x=0$ and $y=0$ respectively. Then the resultant of forces would be

• A. $2\hat{i}+\hat{j}$
• B. $\hat{i}+2\hat{j}$
• C. $3\hat{i}+2\hat{j}$
• D. $\hat{i}+\hat{j}$

Answer 1

The correct option is A $2\hat{i}+\hat{j}$

$x=0$ means $y-\text{axis}$
$\Rightarrow {\overrightarrow{F}}_1=\hat{j}$
$=0$ means $x-\text{axis}$
$\Rightarrow {\overrightarrow{F}}_2=2\hat{i}$
So, resultant,
$\overrightarrow{F}={\overrightarrow{F}}_1+{\overrightarrow{F}}_2=2\hat{i}+\hat{j}$
Final Answer: (D)