To determine the vector shown in component form, let's analyze the graph carefully.

1. The vector starts at the origin $(0, 0)$ and ends at a point that appears to be $(3, 4)$.

2. The component form of a vector is given as: $\text{Vector} = a \mathbf{i} + b \mathbf{j}$ where $a$ is the horizontal (x-axis) component and $b$ is the vertical (y-axis) component.

3. From the graph, we see that:

   • The vector moves 3 units to the right along the x-axis.
   • The vector moves 4 units up along the y-axis.

4. Thus, the vector in component form is: $\text{Vector} = 3 \mathbf{i} + 4 \mathbf{j}$

Would you like more details on how vector components are determined?

Related Questions:

1. How can I calculate the magnitude of a vector given its components?
2. What does it mean if a vector has a negative component?
3. How do we find the direction angle of a vector?
4. What are unit vectors, and how do they relate to components $\mathbf{i}$ and $\mathbf{j}$?
5. How would the vector change if it was flipped to point in the opposite direction?

Tip: When determining vector components from a graph, always check the orientation (right/left for $\mathbf{i}$ and up/down for $\mathbf{j}$).