To determine the components of vector $\mathbf{B}$ from the graph:

Step-by-Step Process:

1. Observation of Vector $\mathbf{B}$:

   • $\mathbf{B}$ starts at the origin $(0, 0)$ and ends at a point in quadrant IV.
   • Specifically, it points towards approximately $(-5, -4)$.

2. Endpoint Coordinates of $\mathbf{B}$:

   • The vector $\mathbf{B}$ ends at approximately $(-5, -4)$.

3. Vector Components of $\mathbf{B}$:

   • The components are determined directly from the endpoint coordinates since the vector starts at the origin: $\mathbf{B} = (-5, -4).$

Final Answer:

The components of vector $\mathbf{B}$ are: $\mathbf{B} = (-5, -4).$

Do you need further clarification or additional details about this vector? Let me know!

Here are 5 related questions to expand your understanding:

1. How can we calculate the magnitude of vector $\mathbf{B}$?
2. What would be the direction (angle) of vector $\mathbf{B}$ in standard position?
3. How would you write the unit vector in the direction of $\mathbf{B}$?
4. If you added vector $\mathbf{B}$ to vector $\mathbf{A}$, what would the resultant vector be?
5. What are the components of $\mathbf{B}$ in polar coordinates?

Tip: Always visualize vectors in their proper quadrant to ensure signs of the components are accurate!