Question

If the Four plane faces of a tetrahedron are given by the equation vector r.(li + mj) = 0, r.(mj + nk) = 0,r.(nk + li) = 0,r.(li + mj +m nk) = P, then the volume of tetrahedron is

Answer 1

Correct option (B)

Explanation: 

The first three planes meet at the point (0,0,0). The first two and the fourth plane meet at the point (P/l,-p/m,p/n) similarly the other two vertices of the tetrahedron are (-P/l,P/m,p/n),(p/l,p/m,-P/n) respectively .