Find the distance between the lines and
- 1.
- To begin with, you make a point by using the parametric equation of and a point by using the parametric equation of :
and
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- 2.
- Create :
- 3.
- Find
and
The vector is made up of the numbers in front of in the parametric equation of , and the vector is made up of the numbers in front of in the parametric equation of . That gives you
- 4.
- Solve the system of equations:
- 5.
- Put the values you found for and back into the expression for
- 6.
- Then you can finally find the length of , which is the distance between the two lines: