To determine the $x$-component of vector $\mathbf{A}$, we analyze its position on the coordinate grid.

1. Observing $\mathbf{A}$:

   • $\mathbf{A}$ is directed toward the first quadrant.
   • It extends from the origin to approximately $(4, 3)$.

2. Extracting the $x$-component:

   • The $x$-component of a vector is the horizontal displacement from the origin.
   • Since $\mathbf{A}$ ends at $x = 4$, its $x$-component is 4.

Thus, the $x$-component of $\mathbf{A}$ is 4.

Would you like a breakdown of the other vectors' components?

Here are five related questions for further understanding:

1. What is the $y$-component of $\mathbf{A}$?
2. What are the components of $\mathbf{B}$?
3. How do we calculate the magnitude of $\mathbf{A}$?
4. What is the direction (angle) of $\mathbf{A}$ relative to the positive $x$-axis?
5. How can we find the resultant vector if we sum $\mathbf{A}$ and $\mathbf{B}$?

Tip: The components of a vector $\mathbf{V} = (V_x, V_y)$ can be found by measuring the horizontal and vertical displacements from its starting point.