why do u use point (1,3,2)? can i also use other point on plane like (1,-1,3)?

In certain mathematical contexts, the point \((1, 3, 2)\) might be used as an example for convenience or for demonstrating a concept. The choice of a point depends entirely on the specific context of the problem you're working with.

If you're working in **3D space**, each point is represented by three coordinates: \((x, y, z)\), where \(x\), \(y\), and \(z\) are real numbers that represent positions along the x-axis, y-axis, and z-axis, respectively.

- The point \((1, 3, 2)\) is one such point, located 1 unit along the x-axis, 3 units along the y-axis, and 2 units along the z-axis.
- Similarly, \((1, -1, 3)\) is also a valid point in 3D space, with its own unique location. Here, it's positioned 1 unit along the x-axis, -1 unit along the y-axis (indicating a position below the origin in the y-direction), and 3 units along the z-axis.

So, yes, you can certainly use other points like \((1, -1, 3)\) or any other coordinates as long as they are defined within the space (either 2D or 3D). The choice of points usually depends on the specific task, like finding distances, plotting points, or solving equations. 

Would you like to know more details or have any specific questions? 

Here are 5 related questions to deepen understanding:
1. How do you calculate the distance between two points in 3D space?
2. What is the geometric meaning of a point in 3D space?
3. How do you find the midpoint between two points, such as \((1, 3, 2)\) and \((1, -1, 3)\)?
4. Can you explain how vectors are represented using points in 3D space?
5. How do coordinates like \((1, -1, 3)\) help in understanding planes and lines in 3D space?

**Tip**: When visualizing points in 3D space, it helps to sketch or use graphing software to see the spatial relationships more clearly!

Explore the concept of points in 3D space and learn whether you can choose different coordinates like (1, -1, 3) instead of (1, 3, 2). Understand 3D geometry, including how points are represented, with real-world examples. Suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation