(a) Find the vector equation of the line passing through the point $(2, 1, 3)$ and perpendicular to both the lines $$\frac{x - 1}{1} = \frac{y - 2}{2} = \frac{z - 3}{3}; \frac{x}{-3} = \frac{y}{2} = \frac{z}{5}.$$ OR (b) The equations of a line are $5x - 3 = 15y + 7 = 3 - 10z$. Write the direction cosines of the line and find the coordinates of a point through which it passes.