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The balls, having linear momenta vecp1=v...

The balls, having linear momenta `vecp_1=vecpi and vecp_2_2=-vecpi`, undergo a collision in free space. There is no external force acting on the balls. Let `vecp'_1 and vec p'_2` be their final momenta.The following option (s) is (are) NOT ALLOWED for any non-zero value of `p, a_1, a_2, b_1, b_2, c_1 and c_2`.

A

`overset rarr p_1=a_1hati+b_1 hatj+c_1hatk, overset rarr p_2=a_1hati+b_2hatj`

B

`overset rarr p_1=c_1 hatk, `overset rarr p_2=c_2 hatk`

C

`overset rarr p_1=a_1hati+b_1 hatj+c_1hatk, overset rarr p_2=a_2hati+b_2hatj-c_1hatk`

D

`overset rarr p_1=a_1hati+b_1 hatjk, overset rarr p_2=a_2hati+b_1hatj`

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