Prove that if a plane has the intercepts a, b, c and is at a distance of p units from the origin, then `1/(a^2)+1/(b^2)+1/(c^2)=1/(p^2)`.

Prove that if a plane has intercepts a,b,c and is at a distance of p units from the origin, then 1/a^2+1/b^2+1/c^2=1/p^2 .

Prove that if a plane has the intercepts a, b, c and it is at a distance p units from the origin, then (1)/a^2 + (1)/b^2+(1)/c^2 = (1)/p^2

If a plane has intercepts a,b,c on axes and is at a distance of p units from the origin then prove that 1/a^2+1/b^2+1/c^2=1/p^2

If a plane has intercepts a, b and c on the coordinate axes and is at a distance of p units from the origin, prove that they (1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))=(1)/(p^(2))

Two system of rectangular cartesian coordinate axes have the same origin. If a plane cuts them at distance a, b, c and p, q, r from the origin, the show that (1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))=(1)/(p^(2))+(1)/(q^(2))+(1)/(r^(2)) .

Two systems of rectangular axis have the same origin. If a plane cuts them at distances a, b, c and a', b', c', respectively from the origin, then prove that (1)/(a^2)+(1)/(b^2)+(1)/(c^2)=(1)/((a')^2)+(1)/((b')^2)+(1)/((c')^2) .

Two systems of rectangular axes have the same origin. If a plane cuts them at distance a,b,c and a',b',c' respectively form the origin, prove that 1/a^2+1/b^2+1/c^2=1/(a'^2)+1/(b'^2)+1/(c'^2) .