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Velocity vectors of three masses 2 kg, 1...

Velocity vectors of three masses 2 kg, 1 kg and 3 kg are `vecv_1=(hati-2hatj+hatk)`m/s, `vecv_2=(2hati+2hatj-hatk)`m/s and `vecv_3` respectively. If velocity vector of center of mass of the system is zero then value of `vecv_3` will be

A

`(frac{2hati+2hatj-hatk}{3})` m/s

B

`(frac{-4hati+2hatj-hatk}{3})` m/s

C

`(frac{2hati+3hatj-hatk}{3})` m/s

D

`(frac{-2hati+3hatj-hatk}{3})` m/s

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The correct Answer is:
b
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