Find the vector equation of line passing through `A(3,4-7)a n dB(1,-1,6)dot` Also find its Cartesian equations.

Explanation

To find the vector equation of the line passing through the points A(3, 4, -7) and B(1, -1, 6), we will follow these steps:

### Step 1: Identify the Position Vectors
The position vector of point A is given by:
\[ \vec{A} = 3\hat{i} + 4\hat{j} - 7\hat{k} \]
The position vector of point B is given by:
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