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Distance Between 3 Points Calculator

Pairwise Distances:

\[ AB = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2} \] \[ AC = \sqrt{(x_3-x_1)^2 + (y_3-y_1)^2 + (z_3-z_1)^2} \] \[ BC = \sqrt{(x_3-x_2)^2 + (y_3-y_2)^2 + (z_3-z_2)^2} \]

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1. What is the Distance Between 3 Points Calculator?

The Distance Between 3 Points Calculator computes the pairwise distances between three points in 3D space. It calculates the straight-line distance (Euclidean distance) between each pair of points (AB, AC, and BC).

2. How Does the Calculator Work?

The calculator uses the 3D distance formula:

\[ AB = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2} \] \[ AC = \sqrt{(x_3-x_1)^2 + (y_3-y_1)^2 + (z_3-z_1)^2} \] \[ BC = \sqrt{(x_3-x_2)^2 + (y_3-y_2)^2 + (z_3-z_2)^2} \]

Where:

Explanation: The formula calculates the straight-line distance between two points in 3D space by applying the Pythagorean theorem in three dimensions.

3. Importance of Distance Calculation

Details: Calculating distances between points is fundamental in geometry, physics, engineering, computer graphics, and many scientific applications. It helps in spatial analysis, object placement, and motion planning.

4. Using the Calculator

Tips: Enter the coordinates for all three points (x, y, z for each) and select the units of measurement. The calculator will compute all three pairwise distances (AB, AC, and BC).

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator be used for 2D points?
A: Yes, simply set the z-coordinate to 0 for all points to work in 2D space.

Q2: What units should I use for the coordinates?
A: The units can be anything (meters, feet, etc.) as long as all coordinates use the same units. The distance results will be in the same units.

Q3: How accurate are the results?
A: The calculator provides results rounded to 2 decimal places. The underlying calculations use double-precision floating-point arithmetic.

Q4: Can I calculate distances between more than 3 points?
A: This calculator is specifically designed for 3 points. For more points, you would need to calculate each pairwise distance separately.

Q5: What's the maximum distance this calculator can handle?
A: There's no practical limit to the distances it can calculate, but extremely large values might lead to floating-point precision issues.

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