find shortest distance between the line :
x - 8/ 3 = y + 19/ -16 = z - 10/ 7 and x - 15/ 3 = y - 29 /8 = z - 5 / -5
The equations of two given lines are:
Line (i) passes though (8,-19,10) and has direction ratios proportional to 3,-16,7.
So, its vector equation is
Line (ii) passes though (15,29,5) and has direction ratios proportional to 3,8,-5.
So, its vector equation is
The shortest distance between the lines (iii) and (iv) is given by