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A mud ball at rest explodes into three f...

A mud ball at rest explodes into three fragmennts of masses in the ragio `1:2:1`. the two equal masses move with velocities `2hati+5hatj-6hatk` and `-4hati+3hatj+2hatk`. Find the velocity of the find mass.

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Apply conservation of momentum:
`implies m_(1)vecv_(1)+m_(2)vecv_(2)=m_(3)vecv_(3)=0`
`m(2hati+5hatj-6hatk)+2mvecv_(2)+m(-4hati+3hatj+2hatk)=0`
`vecv_(2)=hati-4hatj+2hatk`
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