3D Distance Formula Calculator Program

In summary, a 3D distance formula calculator program is a tool that uses the Pythagorean theorem to calculate the distance between two points in a three-dimensional space. It works by finding the differences between the x, y, and z coordinates of the two points and using these to calculate the distance. The program requires the coordinates of both points as inputs and has advantages such as speed, accuracy, and the ability to handle complex calculations. However, it also has limitations, including only being able to calculate the distance between two points and relying on accurate input coordinates for precise results.
  • #1
riaudo
5
0
Hello. I have the distance formula programmed into my calculator and I searched for a distance formula that includes the z-axis but I couldn't find any. Does anyone know how to make such a program for the TI-84?

Thank you.
 
Mathematics news on Phys.org
  • #2
It's just the obvious extension of the two dimensional formula:
The distanct from [itex](x_0, y_0, z_0)[/itex] to [itex](x_1, y_1, z_1)[/itex] is
[tex]\sqrt{(x_1- x_0)^2+ (y_1- y_0)^2+ (z_1- z_0)^2}[/tex]
 

Related to 3D Distance Formula Calculator Program

What is a 3D distance formula calculator program?

A 3D distance formula calculator program is a tool used to calculate the distance between two points in a three-dimensional space. It uses the Pythagorean theorem to determine the distance between the points.

How does a 3D distance formula calculator program work?

The program uses the coordinates of the two points to calculate the distance between them. It first finds the differences between the x, y, and z coordinates of the two points. Then, it squares each difference, adds them together, and takes the square root to find the distance.

What are the inputs required for a 3D distance formula calculator program?

The inputs required for the program are the coordinates of the two points in the three-dimensional space. This includes the x, y, and z coordinates for both points.

What are the advantages of using a 3D distance formula calculator program?

- It is a quick and accurate way to calculate the distance between two points in a three-dimensional space.
- It can handle large numbers and complex calculations.
- It eliminates the need for manual calculations, saving time and reducing the chances of error.

Are there any limitations of a 3D distance formula calculator program?

As with any computer program, a 3D distance formula calculator may have limitations. Some of these include:
- It can only calculate the distance between two points in a three-dimensional space.
- It may not be able to handle extremely large or small numbers.
- It relies on the accuracy of the input coordinates for accurate results.

Similar threads

  • General Math
Replies
6
Views
1K
  • General Math
Replies
3
Views
2K
Replies
6
Views
1K
Replies
7
Views
1K
Replies
3
Views
1K
  • General Math
Replies
3
Views
927
Replies
3
Views
1K
Replies
2
Views
1K
Back
Top