Distance from a point to a line in 3D
1.
What is the direction vector of L1?
2.
What is the parametric equation of the line from point P to a point on the line L1?
3.
What are the coordinates of the point on L1 closest to point P?
4.
What is the distance between point P and line L1?
Graph to verify your work
Plot point P and graph line L1.
Graph the line through P and your answer to question 3.
Construct a line segment between P and that point.
Measure it's length to confirm your answer to question 4.