Given the tetrahedron points A(1,2,1), B(2,-1,1), C(0,-1,-1) and D(3,1,0). Calculate the measure of height low of vertex D to the plan of the face ABC.
First, find the equation of the plane . . .Given points:
Calculate the distance from vertex to the plane of face
We have: .
The normal vector of the plane: .
The plane is: .
The distance from point to plane
. . is given by: .
So we have: .