A particle of mass `1g` moving with a velocity `v_1= (3hati - 2hatj) ms^(-1)` experiences a perfectly elastic collision with another particle of mass `2 g` and velocity `v_2=(4hatj - 6hatk) ms^(-1)`. The velocity of the particle is
Options:
(a) `2.3ms^(-1)`
(b) `4.6ms^(-1)`
(c) `9.2 ms^(-1)`
(d) `6 ms^(-1)`