Find the distance between the parallel lines L1 and L2 whose vector equations are and
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 parallel lines :
The shortest distance between the parallel lines and
is given by,
Answer :
For given lines,
Here,
Therefore, the shortest distance between the given lines is