Question

Find the equation of the line intersecting the lines (x - a)/1 = y/1 = (z - a)/1 and (x + a)/1 = y/1 = (z + a)/2 and parallel to the line (x - a)/2 = (y - a)/1 = (z - 2a)/3.

Answer 1

Straight lines are (x - a)/1 = y/1 = (z - a)/1

and (x + a)/1 = y/1 = (z + a)/2

Than, third straight line

(x - a)/2 = (y - a)/1 = (z - 2a)/3

Equation of the line

x(3 - 1)i - y(3 - 2)j + z(1 - 2)k

= 2xi - yj - zk

Then equation of straight line is = 2xi - yj - zk