`Delta=|(b+c,a,a),(b,c+a,b),(c,c,a+B)|`

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:|( a,b,c),( b,c,a),( c,a,b)|:} is negative

Suppose a,b,c are sides of a scalene triangle. Let Delta=|(a,b,c),(b,c,a),(c,a,b)| Then

If Delta_(1)=|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)| and Delta_(2)=|(a,b,c),(b,c,a),(c,a,b)| then (Delta_(1))/(Delta_(2))= _______

The value of Delta = |(b -c,c -a,a -b),(c -a,a -b,b -c),(a -b,b -c,c -a)| is

Suppose a,b,c in R and a+b+c!=0. Let Delta=|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|. If Delta=0, then

If Delta_(1)=|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)| and Delta_(2)=|(a,b,c),(b,c,a),(c,a,b)| then Delta_(1)-Delta_(2) equual

If Delta=|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)| , then Delta eqauals

If a, b, c are positive and unequal, show that value of the determinant Delta=|(a,b,c),(b,c,a),(c,a,b)| is negative

If a,b,c are positive and unequal, show that value of the determinant Delta=|{:(a,b,c),(b,c,a),(c,a,b):}| is negative

Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=0