Shortest distance between lines r = (5i + 7j + 3k) + λ(5i - 16j + 7k)

Question

Shortest distance between lines \(\vec{r} = (5i + 7j + 3k) + \lambda(5i - 16j + 7k) \) and \(\vec{r} = (9\hat{i} + 13\hat{j} + 15\hat{k}) + \mu(3\hat{i} + 8\hat{j} - 5\hat{k})\):

(a) 10 unit 

(b) 12 unit 

(c) 14 unit 

(d) None of these

Answer 1

Answer is (d)