Question

Find the distance between the lines l₁ and l₂ given by \(\vec {r}=\hat {i}+2\hat {j}-4\hat {k}+ \lambda (2 \hat {i} + 3\hat {j} + 6\hat {k})\) and \(\vec {r} =3\hat {i}+3\hat {j} -5 \hat {k} +\mu (2 \hat {i}+3\hat {j}+6\hat {k}).\)

Answer 1

Therefore, the distance between two parallel lines is