The vector equation of the line passing through the point (1,2,-4) and perpendicular to the two lines x−83=y+19−16=z−107 and x−153=y−298=z−5−5

Dr's of a line perpendicular to a¯ and b¯ is a¯×b¯=i¯j¯k¯3−16738−5=24i¯+36j¯+72k¯=2i¯+3j¯+6k¯Equation of line passing through (1,2,-4) and parallel to a¯×b¯r¯=(i¯+2j¯−4k¯)+λ(2i¯+3j¯+6k¯)