Find the vector equation of the line that pass through the points A(3,4,1) and B(2,-3,5) crosses xy plane.

A \( \vec{r} = \frac{7}{3} \hat{i} + \frac{17}{3} \hat{j} \)

B \( \vec{r} = \frac{23}{5} \hat{i} + \frac{13}{5} \hat{j} \)

C \( \vec{r} = \frac{13}{5} \hat{i} + \frac{23}{5} \hat{j} \)