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सिद्ध कीजिए। |(a+b,b+c,c+a),(c,a,b),(1,1...

सिद्ध कीजिए। `|(a+b,b+c,c+a),(c,a,b),(1,1,1)|=0`

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Prove that : |{:(a+b,b+c,c+a),(c,a,b),(1,1,1):}|

Prove that : |{:(a+b,b+c,c+a),(c,a,b),(1,1,1):}|

|{:(b+c,a,1),(c+a,b,1),(a+b,c,1):}|=0

|{:(1,a,b+c),(1,b,c+a),(1,c,a+b):}|=0

Without expanding show that : |(a,b+c,1),(b,c+a,1),(c,a+b,1)|=0

Prove: |(1,a, b c),(1,b ,c a),(1,c ,a b)|=|(1,a ,a^2),( 1,b,b^2),( 1,c,c^2)|

|(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))|= 0

|{:(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b)):}|=0

|{:(a-b,1,a),(b-c,1,b),(c-a,1,c):}|=|{:(a,1,b),(b,1,c),(c,1,a):}|

If |{:(a,b,aalpha-b),(b,c,balpha-c),(2,1," "0):}|=0andalpha!=1//2 , then a,b,c are in