Find the locus of the point, the sum of whose distances from the points `A(4,0,0)a n d\ B(-4,0,0)` is equal to 10.

Explanation

To find the locus of the point whose sum of distances from the points \( A(4,0,0) \) and \( B(-4,0,0) \) is equal to 10, we can follow these steps:

### Step 1: Define the Point
Let the point \( P \) be represented by the coordinates \( (h, k, l) \). We need to find the locus of this point.

### Step 2: Write the Distance Formulas
The distance from point \( P \) to point \( A \) is given by:
\[
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