The shortest distance between the lines r⃗=( 13i^+2j^+ 83k^)+λ(2i^−5j^+6k^)\vec{r}= \left(\,\dfrac{1}{3}\hat{i}+2\hat{j}+\,\dfrac{8}{3}\hat{k}\right)+\lambda\left(2\hat{i}-5\hat{j}+6\hat{k}\right)r=(31i^+2j^+38k^)+λ(2i^−5j^+6k^) and r⃗=(−23i^−13k^)+μ(j^−k^),λ,μ∈R\vec{r}= \left(-\dfrac{2}{3}\hat{i}-\dfrac{1}{3}\hat{k}\right)+\mu\left(\hat{j}-\hat{k}\right), \lambda,\mu\in\mathbb{R}r=(−32i^−31k^)+μ(j^−k^),λ,μ∈R, is :
5\sqrt{5}5
3
232\sqrt{3}23
15\sqrt{15}15