Question

Answer of find the shortest distance from (6,-4,4) to the line joining (2,1,2) and (3,-1,4).

Answer 1

Let point A = (6,-4,4)
      point B = (2,1,2)
     point C = (3,-1,4)

Let the be a mid point D on lice BC

So D  =  (2+3/2, 1-1/2, 2+4/2)
          =  (5/2, 0, 3)
So the shortest Distance Can be calculated by joining A and D

Thus    AD = root [ 6-5/2 ^2 + -4^2 + 4-3^2 ]
                  = root [ 49/4 + 16 + 1 ]
                  = root [117/4]
                  = 1/2 root 117

Thus the shortest distance is 1/2 root 117