Find the vector equation for the line passing through the points `(1, 0, 2)`and `(3, 4, 6)`.

Explanation

To find the vector equation of the line passing through the points \( A(1, 0, 2) \) and \( B(3, 4, 6) \), we can follow these steps:

### Step 1: Define the position vectors
Let the position vector of point \( A \) be \( \mathbf{a} \) and the position vector of point \( B \) be \( \mathbf{b} \).

\[ \mathbf{a} = 1\mathbf{i} + 0\mathbf{j} + 2\mathbf{k} = \mathbf{i} + 2\mathbf{k} \]
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