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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Two masses of 6 and 2 units are at positions (6i^−7j^)(6 \hat{{i}}-7 \hat{{j}}) and (2i^+5j^−8k^)(2 \hat{{i}}+{5} \hat{{j}}-{8} \hat{{k}}) respectively. The co-ordinates of the centre-of-mass (c.m.) are
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Correct option: C
(5,−4,−2)(5,-4,-2)
Option C ((5,−4,−2)(5,-4,-2)) is correct because the center of mass coordinates are calculated by the formula x⃗cm=m1r⃗1+m2r⃗2m1+m2\vec{x}_{cm} = \frac{{m_1 \vec{r}_1 + m_2 \vec{r}_2}}{{m_1 + m_2}}.

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