Question

Find the shortest distance between the lines l₁ and l₂ whose vector equations are \(\vec {r}= \hat {i}+\hat {j} +\lambda (2 \hat {i}-\hat {j}+\hat {k})\) and \(\vec {r}=2\hat {i} + \hat {j} - \hat {k}+ \mu (3 \hat {i}-5\hat {j}+2\hat {k}).\)

Answer 1

Hence, the shortest distance between two given lines be