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An object , initially at rest , explodes...

An object , initially at rest , explodes in three fragments. The momentum of two pieces are `- 3 p hat(i)` and `-4 p hat(j)` where `p` is a positive number. The momentum of the third piece
(i) will have magnitude `5p`
(ii) will make an angle `tan^(-1) (4//3)` with the `x`-axis
(iii) will make an angle `tan^(-1) (3//4)` with the `x`-axis
(iv) will have magnitude `7 p`

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