Distance From 2 Points Calculator

3D Distance Formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]

Point 1 X-coordinate:

Point 1 Y-coordinate:

Point 1 Z-coordinate:

Point 2 X-coordinate:

Point 2 Y-coordinate:

Point 2 Z-coordinate:

Distance Between Points:

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1. What is 3D Distance?

The 3D distance formula calculates the straight-line distance between two points in three-dimensional space. It's an extension of the Pythagorean theorem to three dimensions.

2. How Does the Calculator Work?

The calculator uses the 3D distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]

Where:

\( (x_1, y_1, z_1) \) — Coordinates of first point
\( (x_2, y_2, z_2) \) — Coordinates of second point
\( d \) — Distance between the points

Explanation: The formula calculates the square root of the sum of squared differences in each coordinate dimension.

3. Applications of 3D Distance

Details: Used in computer graphics, physics simulations, engineering design, robotics, and any application requiring spatial measurements in three dimensions.

4. Using the Calculator

Tips: Enter coordinates for both points in the same units. The calculator works with any consistent unit system (meters, feet, etc.).

5. Frequently Asked Questions (FAQ)

Q1: Can this calculate 2D distance?
A: Yes, simply set z-coordinates to 0 and it becomes the 2D distance formula.

Q2: What if my points have negative coordinates?
A: The formula works with any real numbers - negative coordinates are handled automatically.

Q3: How precise are the calculations?
A: Results are accurate to 4 decimal places, sufficient for most applications.

Q4: Does the order of points matter?
A: No, distance is the same whether calculated from point 1 to 2 or point 2 to 1.

Q5: What's the maximum distance this can calculate?
A: Limited only by floating-point number precision in PHP, but practical for any real-world measurements.