Show that the points (-4,-4,-1),(0,2,3) and (4,6,-3) are the vertices of an isosceles triangle.

Explanation

To show that the points \( A(-4, -4, -1) \), \( B(0, 2, 3) \), and \( C(4, 6, -3) \) are the vertices of an isosceles triangle, we need to calculate the distances between each pair of points and check if any two distances are equal.

### Step 1: Calculate the distance \( AB \)

Using the distance formula in three dimensions:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]
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