Prove that $ \overrightarrow{R S} $ and $ \overrightarrow{O P} $ are equivalent by showing that they represent the same vector.
-R = (-4, -2), S = (-11, -11), O = (7, -3), and P = (-8, -12)

Question

Quizplus · Accepted Answer

To prove two vectors are equivalent, we need to show that their directional components are the same. The vector $ \overrightarrow{R S} $ is found by subtracting the coordinates of R from S, resulting in $ \overrightarrow{R S} = S - R = (-11 + 4, -11 + 2) = (-7, -9) $. Similarly, $ \overrightarrow{O P} = P - O = (-8 - 7, -12 + 3) = (-15, -9) $. Since $ \overrightarrow{R S} = (-7, -9) $ and $ \overrightarrow{O P} = (-15, -9) $, their directional components are not the same, thus they do not represent the same vector.

Prove That RS→ \overrightarrow{R S} RS And OP→ \overrightarrow{O P} OP Are Equivalent by Showing That They Represent the Same Vector

Prove That $\overrightarrow{R S}$ And $\overrightarrow{O P}$ Are Equivalent by Showing That They Represent the Same Vector