निम्नलिखित का योग ज्ञात कीजिए : l^2+m^2,m^2+n^2,n^2+l^2,2lm+2nl | 8 | बीजीय व्यंजक एवं सर्वसमिका...

The set of quantum numbers, n = 2, l = 2, m_(l) = 0 :

Factories: (l +m)^(2) - 4 lm

Factoris the expression. l ^(2) m ^(2) n - lm ^(2) n ^(2) - l^(2) mn ^(2)

Find the angle between the lines whose direction-cosines are given by : (i) l + m + n = 0, l^(2) + m^(2) - n^(2) = 0 (ii) 2l - m + 2n = 0 , mn + nl + lm = 0 ,

8l^(3)-36l^(2)m+54lm^(2)-27m^(3)

|[(m+n)^(2), l^(2), mn], [(n+l)^(2), m^(2), ln], [(l+m)^(2), n^(2), lm]| =(l^(2) +m^(2) +n^(2))(l-m)(m-n)(n-l)(l+m+n)