2. In a rectangular coordinate system in the plane, the points are given: $A(-4,-2), B(-3,1)$, $C(-2,-1), D(0,-6)$ and $E(-1,1)$. Draw a vector equal to the vector $\overrightarrow{A B}+\overrightarrow{C D}$ such that point $E$ is the initial point. Determine the coordinates of the endpoint $F$ of the vector $\overrightarrow{E F}$ thus obtained.
2. In a rectangular coordinate system in the plane, the points are given: $A(-4,-2), B(-3,1), C(-2,-1)$, $D(0,-6)$ and $E(-1,1)$. Draw a vector equal to the vector $\overrightarrow{A B}+\overrightarrow{C D}$ such that point $E$ is the initial point. Determine the coordinates of the endpoint $F$ of the vector $\overrightarrow{E F}$ thus obtained.

## Solution.

Plotting the points in the coordinate system: 1 POINT

Drawing and orienting vectors $\overrightarrow{A B} \text{ and } \overrightarrow{C D}$: 1 POINT

Translating the vector to point E: 1 POINT

Adding the vectors (using the parallelogram or triangle rule): 1 POINT

Highlighting point F on the graph: 1 POINT

Reading the coordinates of point $F(2,-1)$: 1 POINT

![](https://cdn.mathpix.com/cropped/2024_05_30_1ae5e90785d026149547g-24.jpg?height=754&width=671&top_left_y=231&top_left_x=698)

TOTAL 6 POINTS