Delta=|[b+c,a,a],[b,c+a,b],[c,c,d+b]|

If a, b and c are real numbers, and Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+c,c+a]|=0 . Show that either a+b+c=0 or a=b=c

If a, b and c are real numbers, and Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+c,c+a]|=0 . Show that either a+b+c=0 or a=b=c

If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,[b, c, a] ,[c, a, b]| is positive (b) negative non-positive (d) non-negative

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

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

If a, b and c are real numbers , and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}| Show that either a+b+c=0 or a=b=c

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))= _______

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