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

Correct Answer - `(x-1)/(2)=(y-2)/(3)=(z+4)/(6),vec(r ) =(hat(i) +2hat(j) -4hat(k)) +lambda(2hat(i) +3hat(j) +6hat(k))`