The Cartesian equations of a line are `6x-2=3y+1=2z-2.` Find its direction ratios and also find vector equation of the line.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Convert the Cartesian equations to a standard form
The given Cartesian equations of the line are:
\[ 6x - 2 = 3y + 1 = 2z - 2 \]

We can express these equations in a standard form by separating them:

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