## Algebra and Trigonometry 10th Edition

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.