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

The position vectors of the four angular points of a tetrahedron OABC are (0, 0, 0), (0, 0, 2), (0, 4, 0) and (6, 0, 0) , respectively. A point P inside the tetrahedron is at the same distance 'r' from the four plane faces of the tetrahedron. Then, the value of 9r is.....

The position vectors of the four angular points of a tetrahedron OABC are (0, 0, 0), (0, 0, 2), (0, 4, 0) and (6, 0, 0) , respectively. A point P inside the tetrahedron is at the same distance 'r' from the four plane faces of the tetrahedron. Then, the value of 9r is.....

The position vectors of the four angular points of a tetrahedron OABC are (0, 0, 0), (0, 0, 2), (0, 4, 0) and (6, 0, 0) , respectively. A point P inside the tetrahedron is at the same distance 'r' from the four plane faces of the tetrahedron. Then, the value of 9r is.....

The position vectors of the four angular points of a tetrahedron OABC are (0, 0, 0), (0, 0, 2), (0, 4, 0) and (6, 0, 0) , respectively. A point P inside the tetrahedron is at the same distance 'r' from the four plane faces of the tetrahedron. Then, the value of 9r is.....

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

Volume of tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1) is

Find the co- ordinates of the centroid of the tetrahedron whose vertices are (0,0,0) ,(a,0,0),(0,b,0) and (0,0,c)

Volume of the tetrahedron with vertices at (0,0,0),(1,0,0),(0,1,0) and (0,0,1) is (cu units)

The position vector of the vertices A, B & C of a tetrahedron ABCD are (1, 1, 1), (1, 0, 0) & (3, 0, 0) respectively. The altitude from the vertex D to the opposite face ABC meets the median through A of A B C at point E. If A D=4 units and value of tetrahedron =(2sqrt(2))/3, then the correct statement(s) among the following is/are: The altitude from vertex D=2 units There is only one possible position for point E There are two possible position for point E vector hat j- hat k is normal to the plane ABC

(0,0,0), (a,0,0), (0,b,0) and (0,0,c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?