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  • Calculate the Distance Between Two 3D Points: A Step-by-Step Guide
    You're likely asking about the distance between two points in a 3-dimensional space. Here's how to calculate it:

    Understanding the Problem

    * Points: You have two points: (8, 3, 4) and (6, 1, 0).

    * Distance Formula: We'll use the 3D distance formula, which is a generalization of the Pythagorean theorem:

    Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

    Calculation

    1. Label your points:

    * (x₁, y₁, z₁) = (8, 3, 4)

    * (x₂, y₂, z₂) = (6, 1, 0)

    2. Plug the values into the distance formula:

    Distance = √[(6 - 8)² + (1 - 3)² + (0 - 4)²]

    3. Simplify:

    Distance = √[(-2)² + (-2)² + (-4)²]

    Distance = √(4 + 4 + 16)

    Distance = √24

    4. Find the square root (approximate):

    Distance ≈ 4.899

    Answer: The distance between the points (8, 3, 4) and (6, 1, 0) is approximately 4.899 units.

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