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

If Delta= {:|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)| , then show that Delta is equal to zero.

If Delta=det[[0,b-a,c-aa-b,0,c-ba-c,b-c,0]], then Delta

Select and write the correct answer from the given alternatives in each of the following:if triangle=|(0,a,b),(-a,0,c),(-b,-c,0)| ,then triangle equals

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 a, b, c are complex numbers, then the determinant Delta = |(0,-b,-c),(bar(b),0,-a),(bar(c),bar(a),0)| , is

The determinant Delta=|{:(a,b,aalpha+c),(b,c,balpha+c),(aalpha+b,balpha+c,0):}| is equal to zero if

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