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: Identify the position vectors of points A and B.
The position vector of point \( A \) is:
\[ \vec{A} = 1\hat{i} + 0\hat{j} + 2\hat{k} = \hat{i} + 2\hat{k} \]
The position vector of point \( B \) is:
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