https://file.aiquickdraw.com/mathbot/file/1726791904254cpu0dg1h.jpg

In Part (b) of the problem, we are asked to select all vectors with a **y-component of zero**.

Let’s analyze the vectors based on their visual directions:

1. **Vector 1**: This vector is pointing diagonally, indicating both an x and y component are present.
2. **Vector 2**: This vector points **straight up** along the y-axis, meaning it has a y-component but no x-component (as noted in Part a).
3. **Vector 3**: This vector points **horizontally** to the right along the x-axis, meaning its y-component is zero, while the x-component is nonzero.
4. **Vector 4**: This vector is also pointing diagonally, meaning both an x and y component are present.

Therefore, the correct answer for Part (b) is **Vector 3**, as it has a y-component of zero.

Would you like more detailed explanations or have any further questions?

Here are five follow-up questions to expand the understanding:
1. How do you mathematically determine the components of a vector?
2. Can a vector ever have both an x and y component of zero?
3. How do you represent vectors in component form using unit vectors?
4. What is the significance of the magnitude of a vector, and how is it calculated?
5. How can you calculate the direction of a vector relative to the x-axis?

**Tip**: Always visualize vectors with respect to their components to better understand their direction and magnitude.

Select all vectors with a y component of zero.

Learn how to identify vectors with a zero y-component by analyzing their direction and position on a grid. This problem involves understanding vector components and is suitable for students in Grades 8-10.

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