4. Plot each of the following points in xyz-space: A = (0, 4, −1) B = (1, 2, 5) C = (−3, 0, 0) D = (−5, −1, 2)

Here is the 3D plot of the points \(A = (0, 4, -1)\), \(B = (1, 2, 5)\), \(C = (-3, 0, 0)\), and \(D = (-5, -1, 2)\) in xyz-space. Each point is labeled with its corresponding letter.

If you have any questions about this plot or need further assistance, feel free to ask!

Here are 5 related questions you might consider:
1. How would the plot change if the point \(A\) were moved to \((0, 4, 2)\)?
2. What is the distance between points \(A\) and \(B\) in xyz-space?
3. How do you determine the equation of the plane passing through points \(A\), \(B\), and \(C\)?
4. What is the midpoint of the line segment connecting points \(C\) and \(D\)?
5. How would you describe the vector \(\overrightarrow{AB}\) in component form?

**Tip**: When working in 3D space, visualizing points, lines, and planes can be greatly aided by plotting, helping you understand their relationships.

Explore how to plot points A = (0, 4, -1), B = (1, 2, 5), C = (-3, 0, 0), and D = (-5, -1, 2) in 3D Cartesian coordinates. Learn the visualization techniques for XYZ-space plotting with step-by-step guidance. Suitable for high school students studying 3D geometry.

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