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.

Answer:

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- Jun 29th 2008, 02:34 PMApprentice123tetrahedron 2
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.

Answer:

- Jun 29th 2008, 04:21 PMSoroban
Hello, Apprentice123!

Quote:

Given points:

Calculate the distance from vertex to the plane of face

Answer: .

We have: .

The normal vector of the plane: .

Hence: .

The plane is: .

The distance from point to plane

. . is given by: .

So we have: .

- Jun 29th 2008, 07:21 PMApprentice123
thank you