The Cartesian equation of a line is `(x+3)/2=(y-5)/4=(z+6)/2`. Find the vector equation for the line.

Explanation

To find the vector equation of the line given in Cartesian form, we can follow these steps:

### Step 1: Understand the Cartesian Equation
The given Cartesian equation of the line is:
\[ \frac{x + 3}{2} = \frac{y - 5}{4} = \frac{z + 6}{2} \]
This indicates that the line can be expressed in terms of a parameter \( t \).
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