Answer
Equivalent
Work Step by Step
NOTE: Two vectors are equivalent when they have the same magnitude and direction.
To find the direction, we can use the slope.
Slope of $\overrightarrow{u}$:
$\frac{\Delta y}{\Delta x} = \frac{-1 -1}{13 - 8} = \frac{-2}{5} = -0.4$
Slope of $\overrightarrow{v}$:
$\frac{\Delta y}{\Delta x} = \frac{6 - 4}{-7 - (-2)} = \frac{2}{-5} = -0.4$
Magnitude of $\overrightarrow{u}$:
$\sqrt {(-2)^{2} + (5)^{2}} = 5.39$
Magnitude of $\overrightarrow{v}$:
$\sqrt {(2)^{2} + (-5)^{2}} = 5.39$
Since the vectors have the same direction and magnitude, they are equivalent.
