Distance from a point to a line in 3D

Topic:
Vectors

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.