$\text { Find the vector equation of the line that passes through the points } A(3,4,1) \text {, and } B(2,-3,5) \text { crosses } x y$$\text { plane. }$

$\overrightarrow{\mathrm{r}}=\frac{7}{3} \hat{\mathrm{i}}+\frac{17}{3} \hat{\mathrm{j}}$

$\overrightarrow{\mathrm{r}}=\frac{23}{5} \hat{\mathrm{i}}+\frac{13}{5} \hat{\mathrm{j}}$

$\overrightarrow{\mathrm{r}}=\frac{13}{5} \hat{\mathrm{j}}+\frac{23}{5} \hat{\mathrm{j}}$

$\overrightarrow{\mathrm{r}}=\frac{17}{3} \hat{\mathrm{j}}+\frac{7}{3} \hat{\mathrm{j}}$