Find the distance between points A(2,5,7), B(1,3,5), by using vector method.

Explanation

To find the distance between points A(2, 5, 7) and B(1, 3, 5) using the vector method, we can follow these steps:

### Step 1: Define the position vectors of points A and B
Let O be the origin. We can define the position vectors as follows:
- The position vector of point A, denoted as **OA**, is given by:
\[ \mathbf{OA} = 2\mathbf{i} + 5\mathbf{j} + 7\mathbf{k} \]
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