Examples

,
Step 1
To find the distance between two 3d points, square the difference of the x, y, and z points. Then, sum them and take the square root.
Step 2
Replace , , , , , and with the corresponding values.
Step 3
Simplify the expression .
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Step 3.1
Subtract from .
Step 3.2
Raising to any positive power yields .
Step 3.3
Subtract from .
Step 3.4
Raise to the power of .
Step 3.5
Add and .
Step 3.6
Raise to the power of .
Step 3.7
Add and .
Step 3.8
Add and .
Step 3.9
Rewrite as .
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Step 3.9.1
Factor out of .
Step 3.9.2
Rewrite as .
Step 3.10
Pull terms out from under the radical.
Step 4
The distance between and is .
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