Mathematics

Problem

5. Find the vector equation of the line passing through the point

(1,2,-4)

and perpendicular to the two lines:

\frac{x-8}{3}=\frac{y+19}{-16}=\frac{z-10}{7} \text { and } \frac{x-15}{3}=\frac{y-29}{8}=\frac{z-5}{-5} .