Answer
We can rank the situations according to the rate at which energy is being transferred:
$2 \gt 3 \gt 1$
Work Step by Step
We can find the power in each situation:
Situation 1:
$P = F \cdot v$
$P = [(6~\hat{i} - 20~\hat{j}) \cdot (-4~\hat{i})]~W$
$P = -24~W$
Situation 2:
$P = F \cdot v$
$P = [(-2~\hat{j} +7~\hat{k}) \cdot (2~\hat{i}-3~\hat{j})]~W$
$P = 6~W$
Situation 3:
$P = F \cdot v$
$P = [(2~\hat{i} +6~\hat{j}) \cdot (-3~\hat{i}+~\hat{j})]~W$
$P = (-6+6)~W$
$P = 0$
We can rank the situations according to the rate at which energy is being transferred:
$2 \gt 3 \gt 1$
