The Cartesian equation of a line is 2x−3=−2y+1=5z−3 . Find the vector equation of the line.

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The Cartesian equation of a line is {{{x}-{3}}}{{2}}={{{y}+{1}

Question

The Cartesian equation of a line is $\frac{x - 3}{2} = \frac{y + 1}{- 2} = \frac{z - 3}{5}$ . Find the vector equation of the line.

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Lucas Discussed

The Cartesian equation of a line is

\frac{x - 3}{2} = \frac{y + 1}{- 2} = \frac{z - 3}{5}

. Find the vector equation of the line.

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Question Text

The Cartesian equation of a line is

\frac{x - 3}{2} = \frac{y + 1}{- 2} = \frac{z - 3}{5}

. Find the vector equation of the line.