Find parametric equations of the line passing through the po
Find parametric equations of the line passing through the points (1,2,3) and (3,5,7) and calculate the shortest distance from the line to the origin.
Solution
(x - 1)/2 = (y-2)/3 = (z-3)/4 = t distance^2 = (2t+1)^2 + (3t+2)^ 2 + (4t+3)^2 for shortest distance t = -6/9 = -2/3 hence distance from origin = 0.471