In the image provided, you are asked to identify which vector has coordinates $(-2, -2)$. The grid is labeled with several vectors, each marked with a letter.

Steps to find the vector:

1. Find the coordinates $(-2, -2)$ on the graph. This means moving two units to the left from the origin (0, 0) on the $x$-axis and two units down on the $y$-axis.
2. Identify which vector starts at this position and ends somewhere else. The direction and magnitude of the vector are important for naming it correctly.

Looking at the graph, the vector that starts at $(-2, -2)$ seems to be vector $\mathbf{\nu}$ (labeled as $\mathbf{v}$ in the diagram). The vector starts at the origin $(-2, -2)$ and points downward.

So, the vector corresponding to the coordinates $(-2, -2)$ is $\mathbf{v}$.

Would you like a more detailed breakdown or help with any other part of this problem?

Here are 5 related questions to expand your understanding:

1. How do you determine the coordinates of a vector from a graph?
2. Can two vectors with the same direction but different magnitudes be the same vector?
3. What is the difference between a position vector and a displacement vector?
4. How can vectors be added or subtracted graphically?
5. What are the key properties that define a vector (magnitude, direction, etc.)?

Tip:

When reading a vector from a graph, always check both the starting and ending coordinates, and calculate the displacement accordingly.