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 $\overrightarrow{u}$:
$\frac{\Delta y}{\Delta x} = \frac{5-4}{6-2} = \frac{1}{4} = 0.25$
Slope of $\overrightarrow{v}$:
$\frac{\Delta y}{\Delta x} = \frac{1-0}{4-0} = \frac{1}{4} = 0.25$
Magnitude of $\overrightarrow{u}$:
$\sqrt {(5-4)^{2} + (6-2)^{2}} = 4.12$
Magnitude of $\overrightarrow{v}$:
$\sqrt {(1-0)^{2} + (4-0)^{2}} = 4.12$
Since the vectors have the same direction and magnitude, they are equivalent.
