SaraNextGen.Com

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



Question ID - 153286 | SaraNextGen Top Answer

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

1 Answer
127 votes
Answer Key / Explanation : (6) -

(6)

The given points are and

Here three faces of tetrahedron are  plane

Since point  is equidistance from  and  planes, its coiordinates are

Equation of plane  is

  (from intercept form)

 is also at distance  from plane

   (as )

127 votes


127