Check membership and a point-to-line distance

Given a line with vector equation $\mathbf r=(\mathbf i+2\mathbf j+3\mathbf k)+\lambda(\mathbf i+2\mathbf j+5\mathbf k)$, $\lambda\in\mathbb R$,

(i) show that point $A(3,6,13)$ lies on the line,

(ii) find the perpendicular distance from point $B(1,7,4)$ to the line.