Answer
$\Delta p = (-0.45~kg~m/s)~\hat{i}-(0.45~kg~m/s)~\hat{j}-(1.08~kg~m/s)~\hat{k}$
Work Step by Step
$v_i = (5.00~m/s)~\hat{i}+(6.50~m/s)~\hat{j}+(4.00~m/s)~\hat{k}$
$v_f = (2.00~m/s)~\hat{i}+(3.50~m/s)~\hat{j}+(-3.20~m/s)~\hat{k}$
We can find the change in velocity:
$\Delta v = v_f - v_i$
$\Delta v = -(3.00~m/s)~\hat{i}-(3.00~m/s)~\hat{j}-(7.20~m/s)~\hat{k}$
We can find the change in momentum:
$\Delta p = m~\Delta v$
$\Delta p = (0.15~kg)[-(3.00~m/s)~\hat{i}-(3.00~m/s)~\hat{j}-(7.20~m/s)~\hat{k}]$
$\Delta p = (-0.45~kg~m/s)~\hat{i}-(0.45~kg~m/s)~\hat{j}-(1.08~kg~m/s)~\hat{k}$
