Find the equation of the set of the points P such that its distances from the points `A (3, 4, 5)`and B `( 2, 1, 4)`are equal.

Explanation

To find the equation of the set of points \( P(x, y, z) \) such that its distances from the points \( A(3, 4, 5) \) and \( B(2, 1, 4) \) are equal, we can follow these steps:

### Step 1: Write the distance formulas
The distance from point \( P(x, y, z) \) to point \( A(3, 4, 5) \) is given by:
\[ PA = \sqrt{(x - 3)^2 + (y - 4)^2 + (z - 5)^2} \]
The distance from point \( P(x, y, z) \) to point \( B(2, 1, 4) \) is given by:
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