Find the shortest distance between the given lines.
Given equations :
To Find : d
Formula :
1. Cross Product :
If are two vectors
then,
2. Dot Product :
If are two vectors
then,
3. Shortest distance between two lines :
The shortest distance between the skew lines and
is given by,
Answer :
For given lines,
Here,
Therefore,
= 3√2
Now,
= - 3 + 0 – 6
= - 9
Therefore, the shortest distance between the given lines is