Home
Class 12
MATHS
" (2) Prove by factor method "|[b+c,a-c,...

" (2) Prove by factor method "|[b+c,a-c,a-b],[b-c,c+a,b-a],[c-b,c-a,a+b]|=8abc

Promotional Banner

Similar Questions

Explore conceptually related problems

det[[b+c,a-c,a-bb-c,c+a,b-ac-b,c-a,a+b]]=8abc

Show that |(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=8abc

if |(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc) .Then k is:

Prove that |[b+c,a,a],[b,c+a,b],[c,c,a+b]| = 4abc

|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4abc

Prove that : |[a+b+c,-c,-b],[-c, a+b+c, -a],[-b,-a,a+b+c]|= 2(a+b)(b+c)(c+a)

Prove that |[a+b+c, -c, -b],[-c, a+b+c, -a],[-b, -a, a+b+c]|=2(a+b)(b+c)(c+a)

Prove that |[b+c ,a-b, a] ,[c+a, b-c ,b],[ a+b, c-a, c]|=3abc-a^3-b^3-c^3dot

Prove that |[b+c ,a-b, a] ,[c+a, b-c ,b],[ a+b, c-a, c]|=3abc-a^3-b^3-c^3dot

Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(a+b-c)(b+c-a)(c+a-b)