Given equations :

3. Shortest distance between two lines :
The shortest distance between the skew lines
The shortest distance between the skew lines \(\vec r=\bar a_1+\lambda \bar{b_1}\) and
\(\vec r=\bar a_2+\lambda \bar {b_2}\) is given by,

For given lines,

= - 68 + 256 + 0
= 188
Therefore, the shortest distance between the given lines is


As d ≠ 0
Hence, the given lines do not intersect.