1. What is 3D Distance Calculation?

The 3D distance formula calculates the straight-line distance between two points in three-dimensional space. It extends the Pythagorean theorem to three dimensions, providing the shortest distance between any two points in 3D coordinate system.

2. How Does the Calculator Work?

The calculator uses the 3D distance formula:

Where:

• \( (x_1, y_1, z_1) \) — Coordinates of the first point
• \( (x_2, y_2, z_2) \) — Coordinates of the second point

Explanation: The formula calculates the Euclidean distance by finding the square root of the sum of squared differences between corresponding coordinates.

3. Applications of 3D Distance

Details: 3D distance calculation is essential in computer graphics, robotics, physics simulations, engineering design, architectural planning, and spatial analysis where three-dimensional measurements are required.

4. Using the Calculator

Tips: Enter the coordinates for both points in 3D space. The calculator accepts any real number values for coordinates. The result will be the straight-line distance between the two points.

5. Frequently Asked Questions (FAQ)

Q1: What coordinate system does this calculator use?
A: This calculator uses the standard Cartesian coordinate system (x, y, z coordinates).

Q2: Can I use negative coordinates?
A: Yes, the calculator accepts both positive and negative coordinate values.

Q3: What units does the distance result use?
A: The distance is in the same units as your input coordinates. If you input meters, the distance will be in meters.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact based on the input values, with results rounded to 4 decimal places for readability.

Q5: Can this be used for 2D distance calculation?
A: Yes, simply set the z-coordinates to 0 for both points to calculate 2D distance in a plane.