# A bomb moving with velocity $(40 \hat i+50 \hat j -25 \hat k)$m/sec explode into two pieces of mass ratio 1:4. After explosion the small piece moves away with velocity $(200 \hat i+70 \hat j+15 \hat k)$ m/sec. The velocity of larger piece after explosion is :

$\begin {array} {1 1} (1)\;45 \hat i-35 \hat k & \quad (2)\;45 \hat i-35 \hat j \\ (3)\;45 \hat k-35 \hat j & \quad (4)\;-35 \hat i + 45 \hat k \end {array}$

$(1)\;45 \hat i-35 \hat k$