The cartesian equation of a line is `(x-5)/3=(y+4)/7=(z-6)/2`. Write its vector form.

Explanation

To convert the given Cartesian equation of a line into its vector form, we can follow these steps:

### Step 1: Identify the Direction Ratios
The given equation of the line is:
\[ \frac{x - 5}{3} = \frac{y + 4}{7} = \frac{z - 6}{2} \]
From this equation, we can identify the direction ratios of the line. The direction ratios are the coefficients of \(x\), \(y\), and \(z\) in the equation, which are \(3\), \(7\), and \(2\) respectively.
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