Distance from Point to Plane

Problem

Compute the distance from point p to the plane through point q with normal vector n:

d = |n . (p - q)| / ||n||_2

If n is the zero vector, return None.

Hint

Project p - q onto the unit normal and take the absolute value.

case 1

in: [[1,2,3],[0,0,1],[0,0,0]]

expected: 3

case 2

in: [[1,1,1],[1,1,1],[0,0,0]]

expected: 1.7320508075688774

case 3

in: [[4,0,0],[2,0,0],[1,0,0]]

expected: 3

case 4

in: [[1,1,1],[0,0,0],[0,0,0]]

expected: null

Starter codePython

def point_plane_distance(p, n, q):
    # Your code here
    pass

4 test cases · run your code against them in the editor