Home
Class 12
MATHS
The position vectors of the four angular...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

The postion vectors of the four angular points of a tetrahedron are A(hatj+2hatk),B(3hati+hatk),C(4hati+3hatj+6hatk) and D(2hati+3hatj+2hatk) find the volume of the tetrahedron ABCD.

The postion vectors of the four angular points of a tetrahedron are A(hatj+2hatk),B(3hati+hatk),C(4hati+3hatj+6hatk) and D(2hati+3hatj+2hatk) find the volume of the tetrahedron ABCD.

The coordinates of the mid-points of the sides of DeltaPQR , are (3a,0,0), (0,3b,0) and (0,0,3c) respectively, then the area of DeltaPQR is

If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,0) respectively, then the equation of the hyperbola is

Find the unit vector in the direction of vector vec(AB) where A and B are the points (6, 4,0) and (8, 0,4) respectively.

The coordinates of the point Aa n dB are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point Pdot

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. The equation of the plane ABC is

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C.

If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

Find the area of a triangle having the points A(1,0,0),B(0,1,0) and C(0,0,1) as its vertices.