Question

Find the shortest distance between the lines

vector r= (i+2j+k)+λ(i-j+k) and 

vector r=2i-j-k+μ(2i+j+2k)

Answer 1

The equations of the given lines are

Comparing the given equations, we obtain

Substituting all the values in equation (1), we obtain

Therefore, the shortest distance between the two lines is 3√2/2 units.