You provided three vectors:  
- \( \mathbf{u} = (0, 2, 0) \)
- \( \mathbf{v} = (3, 2, -1) \)
- \( \mathbf{w} = (2, -3, -2) \)

How can I assist with these vectors? Here are some common operations you might want:

1. **Dot product** between two vectors.
2. **Cross product** between two vectors.
3. **Magnitude (length)** of the vectors.
4. **Angle** between two vectors.
5. **Vector addition or subtraction**.

Let me know what you'd like to explore further!

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Here are five follow-up questions:
1. Do you need the cross product of two of these vectors?
2. Would you like to calculate the dot product between any pair of vectors?
3. Should we find the magnitudes of the vectors \( \mathbf{u}, \mathbf{v}, \mathbf{w} \)?
4. Are you looking to verify if the vectors are orthogonal or parallel?
5. Would you like to determine a scalar triple product of these vectors?

**Tip:** The dot product of two vectors is useful for determining the angle between them and whether they are perpendicular.

Explore vector operations such as dot product, cross product, and magnitude for vectors u=(0, 2, 0), v=(3, 2, -1), and w=(2, -3, -2). This detailed breakdown includes key vector algebra concepts and step-by-step solutions, suitable for high school students in Grades 10-12.

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