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Zeichnen Sie die Punkte A (6|4|5) und B (-4|3|-2) in das beigefügte 3D KoSys.

Let's plot the points \( A(6|4|5) \) and \( B(-4|3|-2) \) on the provided 3D coordinate system:

1. **Point A (6, 4, 5)**:
   - Move 6 units along the \( x \)-axis (1. Achse).
   - Move 4 units along the \( y \)-axis (2. Achse).
   - Move 5 units along the \( z \)-axis (3. Achse).

2. **Point B (-4, 3, -2)**:
   - Move -4 units along the \( x \)-axis (1. Achse).
   - Move 3 units along the \( y \)-axis (2. Achse).
   - Move -2 units along the \( z \)-axis (3. Achse).

I will now plot these points and describe their positions.The points A and B will be positioned as follows:

- **Point A (6|4|5)** will be located 6 units along the first axis (1. Achse), 4 units along the second axis (2. Achse), and 5 units along the third axis (3. Achse).
- **Point B (-4|3|-2)** will be 4 units in the negative direction along the first axis, 3 units along the second axis, and 2 units in the negative direction along the third axis.

To accurately mark these points on the provided 3D grid, visualize extending lines from the origin along each axis according to the coordinates given, and then mark the points at the respective intersections.

Would you like a more detailed explanation on how to interpret 3D coordinates, or do you have any specific questions?

Here are some related questions you might find helpful:
1. What is the general method for plotting points in a 3D coordinate system?
2. How do the signs of the coordinates affect the position of points in a 3D space?
3. How can we calculate the distance between two points in a 3D space?
4. What is the significance of each axis in a 3D coordinate system?
5. How do you determine the quadrant in which a point lies in a 3D coordinate system?
6. Can you explain how to project a 3D point onto a 2D plane?
7. How does rotation affect the coordinates of a point in 3D space?
8. What are some practical applications of 3D coordinate systems?

**Tip:** When working with 3D coordinates, always start from the origin and move step by step along each axis, keeping track of the positive and negative directions.

Learn how to plot points A (6|4|5) and B (-4|3|-2) in a 3D coordinate system. Understand the process of translating 3D coordinates into spatial positions along each axis. Suitable for high school students studying 3D geometry.

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