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The Cartesian equation of a line is (...

The Cartesian equation of a line is `(x-3)/2=(y+1)/(-2)=(z-3)/5` . Find the vector equation of the line.

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To find the vector equation of the line given in Cartesian form, we start with the equation: \[ \frac{x - 3}{2} = \frac{y + 1}{-2} = \frac{z - 3}{5} \] ### Step 1: Identify the direction ratios and a point on the line From the given equation, we can identify the direction ratios of the line and a point on the line. ...
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