Find the vector and the cartesian equations of the lines that passes through the origin and $(5, -2, 3).$

Question

$\overrightarrow r = t(5\hat i - 2\hat j + 3\hat k)$

$\overrightarrow r = t (5\hat i + 2\hat j + 3\hat k)$

$\overrightarrow r = t (-5\hat i + 2\hat j + 3\hat k)$

$\overrightarrow r =t (5\hat i + 2\hat j - 3\hat k)$