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An object flying in air with velocity (2...

An object flying in air with velocity `(20hati + 25hatj - 12hatk)` suddenly breaks into two pieces whose masses are in the ratio 1 : 5. The smaller mass flies off with a velocity `(100hati + 35hatj + 8hatk)`. The velocity of the larger piece will be,

A

`-20hati - 15hatj - 80hatk`

B

`4hati + 23hatj - 16hatk`

C

`-100hati - 35hatj - 8hatk`

D

`20 hati + 15 hatj - 80hatk`

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