# Distance from a point to a line in 3D

- Author:
- Sandi Yoder

- 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.