Question

Two forces $\overrightarrow{F_1}=2\hat{i}+2\hat{j}N$ and $\overrightarrow{F_2}=3\hat{j}+4\hat{k}N$ are acting on a particle. The resultant force acting on the particle is

• A. $2\hat{i}+5\hat{j}+4\hat{k}$
• B. $2\hat{i}-5\hat{j}-4\hat{k}$
• C. $\hat{i}-3\hat{j}-2\hat{k}$
• D. $\hat{i}-\hat{j}-\hat{k}$

Answer 1

The correct option is A $2\hat{i}+5\hat{j}+4\hat{k}$

Let $\overrightarrow{F_R}$ be the resultant force acting on the particle
$\overrightarrow{F_R}=\overrightarrow{F_1}+\overrightarrow{F_2}$
$=2\hat{i}+2\hat{j}+3\hat{j}+4\hat{k}$
$F_R=2\hat{i}+5\hat{j}+4\hat{k}$