Find the vector equation of a line passing through the point with position vector \( \hat{i}-2 \...

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Find the vector equation of a line passing through the point with position vector \( \hat{i}-2 \hat{j}-3 \hat{k} \) and parallel to the line joining the points with position vectors \( \hat{i}-\hat{j}+4 \hat{k} \) and \( 2 \hat{i}+\hat{j}+2 \hat{k} \) Also, find the cartesian equivalent of this equation.
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