Find the shortest distance between the following two lines: vector(r) = (1 + λ)i + (2 - λ)j + (λ + 1)k

Question

Find the shortest distance between the following two lines:

\(\vec{r} = (1+λ)\hat{i} + (2 - λ)\hat{j}+(λ + 1)\hat{k}\) and \(\vec{r} = (2\hat{i} - \hat{j}-\hat{k})+\mu (2\hat{i} + \hat{j}+2\hat{k})\)

Answer 1

The given equation of the lines can be rearranged as given below.

Shortest distance between lines