3 Dimensional Distance Calculator

3D Distance Formula:

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

Point 1 X-coordinate:

Point 1 Y-coordinate:

Point 1 Z-coordinate:

Point 2 X-coordinate:

Point 2 Y-coordinate:

Point 2 Z-coordinate:

Units:

3D Distance:

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From:	To:

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:

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

Where:

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

3. Applications of 3D Distance

Details: Used in physics, engineering, computer graphics, robotics, and any field that deals with spatial relationships in three dimensions.

4. Using the Calculator

Tips: Enter coordinates for both points in the same units. The calculator supports various unit systems including meters, feet, inches, and centimeters.

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative coordinates?
A: Yes, the formula works with both positive and negative coordinates.

Q2: How accurate is the calculation?
A: The calculator provides results with 4 decimal places of precision.

Q3: What if my points have different units?
A: You must convert all coordinates to the same unit system before calculation.

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

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