The position vectors of three particles of mass \( m_{1}= \) P \( 1 \mathrm{~kg}, \mathrm{~m}_{2...
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The position vectors of three particles of mass \( m_{1}= \)
P \( 1 \mathrm{~kg}, \mathrm{~m}_{2}=2 \mathrm{~kg} \) and \( \mathrm{m}_{3}=3 \mathrm{~kg} \) are \( \vec{r}_{1}=(\hat{\imath}+4 \hat{\jmath}+ \)
W \( \hat{k}), \vec{r}_{2}=(\hat{\imath}+\hat{\jmath}+\hat{k}) \quad \) and \( \quad \vec{r}_{3}=(2 \hat{\imath}-\hat{\jmath}-2 \hat{\mathrm{k}}) \) respectively. Find the position vector of their centre of mass.
(1) \( 1.5 \hat{\imath}+0.5 \hat{\jmath}-0.5 \hat{k} \)
(2) \( 2.5 \hat{\imath}+\hat{\jmath}-\hat{\mathrm{k}} \)
(3) \( 2.0 \hat{\imath}+\hat{\jmath}-\hat{\mathrm{k}} \)
(4) \( 3.5 \hat{\imath}+\hat{\jmath}-\hat{k} \)
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