Answer
$F \lt E \lt D$
Work Step by Step
$D_x = 3$
$D_y = 4$
$E_x = 2$
$E_y = -4$
$F_x = 2$
$F_y = 0$
We can find the magnitude of each vector:
The magnitude of vector D is $\sqrt{(3)^2+(4)^2}$ which is 5.0
The magnitude of vector E is $\sqrt{(2)^2+(-4)^2}$ which is 4.5
The magnitude of vector F is $\sqrt{(2)^2+(0)^2}$ which is 2.0
We can rank the vectors in order of increasing magnitude:
$F \lt E \lt D$
