Question

Find the vector and cartesian equations of the line passing through the point (1, 2, - 4) and Perpendicular to the two lines

x-8/3 = y+19/-16 = z-10/7

and x-15/3 = y-29/8 = z-5/-5.

Answer 1

Equations of the line can be written as

x-1/a = y-2/b = z+4/c

Since the line is perpendicular to two given lines,