Question

The position vectors of the 4 angular points of a tetrahedron OABC are (0,0,0) (0,0,2)(0,4,0)(6,0,0)
respectively.A point P inside the tetrahedron is at the same distance r from four planes of tetrahedron. Find value of r.

Answer 1

Hmm r= 2/3?

Answer 2

notsobright are you here?

Answer 3

Here is one way to find the distance using vectors.

Answer 4

One more way