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 :
Given lines,
Above equations can be written as
Here,
Therefore,
Now,
= 6 + 0 + 9
= 15
Therefore, the shortest distance between the given lines is