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Q.

Two bodies of mass 1 kg and 3 kg have position vectors i^+2j^+k and -3i^-2j^+k^ respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector:

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a

i^-2j^+k^

b

-3i^-2j^+k^

c

-2i^+2k^

d

-2i^-j^+2k^

answer is A.

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Detailed Solution

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r¯cm=m1r1+m2r2m1+m2rcm=22+12+12=6

magnitude of i^-2j^+k^=6

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