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 $\overrightarrow{u}$:
$\frac{\Delta y}{\Delta x} = \frac{-10 - (-1)}{5 - 2} = \frac{-9}{3} = -3$
Slope of $\overrightarrow{v}$:
$\frac{\Delta y}{\Delta x} = \frac{-8 - 1}{9 - 6} = \frac{-9}{3} = -3$
Magnitude of $\overrightarrow{u}$:
$\sqrt {(-9)^{2} + (3)^{2}} = 9.49$
Magnitude of $\overrightarrow{v}$:
$\sqrt {(-9)^{2} + (3)^{2}} = 9.49$
Since the vectors have the same direction and magnitude, they are equivalent.
