Calculate Distance Between Three Points

Distance Formula:

\[ Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2} \]

Point 1 X-coordinate:

Point 1 Y-coordinate:

Point 1 Z-coordinate:

Point 2 X-coordinate:

Point 2 Y-coordinate:

Point 2 Z-coordinate:

Point 3 X-coordinate:

Point 3 Y-coordinate:

Point 3 Z-coordinate:

Distance Between Point 1 and Point 2:

Distance Between Point 2 and Point 3:

Distance Between Point 3 and Point 1:

Total Distance (Sum of All Pairs):

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1. What is 3D Distance Calculation?

The 3D distance calculation determines the straight-line distance between points in three-dimensional space using the Euclidean distance formula extended to three dimensions.

2. How Does the Calculator Work?

The calculator uses the 3D distance formula:

\[ Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2} \]

For three points, it calculates the distances between each pair:

Distance between Point 1 and Point 2
Distance between Point 2 and Point 3
Distance between Point 3 and Point 1
Total distance (sum of all three distances)

3. Importance of Distance Calculation

Details: 3D distance calculations are essential in physics, engineering, computer graphics, robotics, and spatial analysis for determining proximity, measuring lengths, and solving geometric problems.

4. Using the Calculator

Tips: Enter the x, y, and z coordinates for all three points. The calculator will compute the distances between each pair of points and their sum.

5. Frequently Asked Questions (FAQ)

Q1: What is the Euclidean distance formula?
A: The Euclidean distance formula calculates the straight-line distance between two points in space by taking the square root of the sum of squared differences in each coordinate.

Q2: Can this calculator handle negative coordinates?
A: Yes, the calculator works with both positive and negative coordinate values.

Q3: What units are used for the distance result?
A: The distance is in the same units as the input coordinates. If coordinates are in meters, distance will be in meters.

Q4: How accurate are the calculations?
A: The calculator provides results with 4 decimal places precision, suitable for most applications.

Q5: Can I calculate distances for more than three points?
A: This calculator is designed for three points. For more points, you would need to calculate distances between consecutive points separately.