Prove that $ \overrightarrow{R S} $ and $ \overrightarrow{O P} $ are equivalent by showing that they represent the same vector.
-R = (4, 3), S = (13, 11), O = (0, 0), and P = (9, 8)

Question

Quizplus · Accepted Answer

To prove that $ \overrightarrow{R S} $ and $ \overrightarrow{O P} $ represent the same vector, we calculate the components of each vector. For $ \overrightarrow{R S} $, the vector components are found by subtracting the coordinates of R from S, resulting in $ \overrightarrow{R S} = S - R = (13 - 4, 11 - 3) = (9, 8) $. For $ \overrightarrow{O P} $, since O is the origin (0, 0), the vector is simply the coordinates of P, which are (9, 8). Since both vectors have the same components, $ \overrightarrow{R S} = \overrightarrow{O P} = (9, 8) $, proving they 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