A body of mass 4 kg experiences two forces $\overrightarrow{\mathrm{F}}_1=5 \hat{\imath}+8 \hat{\jmath}+7 \hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{F}}_2=3 \hat{\imath}-4 \hat{\jmath}-3 \hat{\mathrm{k}}$. The acceleration acting on the body is :
Select the correct option:
A
$-2 \hat{\imath}-\hat{\jmath}-\hat{k}$
B
$4 \hat{\imath}+2 \hat{\jmath}+2 \hat{k}$
C
$2 \hat{\imath}+\hat{\jmath}+\hat{k}$
D
$2 \hat{\imath}+3 \hat{\jmath}+3 \hat{k}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\begin{aligned} & \text { Net force }=8 \hat{\imath}+4 \hat{\jmath}+4 \hat{k} \\ & \vec{a}=\frac{\vec{F}}{m}=2 \hat{\imath}+\hat{\jmath}+\hat{k}\end{aligned}$
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