" the value of "|[a,b,c],[b,c,a],[c,a,b]|" is,"

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 |[[1,a,b+c],[1,b,c+a],[1,c,a+b]]| is

What is the value of |{:(a,b,c),(b,c,a),(c,a,b):}| "if a"^(3) + b^(3) + c^(3) = 0 ?

Let a, b, c be positive and not all equal. Show that the value of the determinant |[a,b,c],[b,c,a],[c,a,b]| is negative

Let a, b, c be positive and not all equal. Show that the value of the determinant |[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 triangle = |[a,b,c],[b,c,a],[c,a,b]| is negative.

What is the value of : |[4,a,b+c ],[4,b,c+a],[4,c,a+b]|

What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?

If u=ax+by+cz , v=ay+bz+cx , w=ax+bx+cy , then the value of |{:(a,b,c),(b,c,a),(c,a,b):}|xx|{:(x,y,z),(y,z,x),(z,x,y):}| is

If u=ax+by+cz , v=ay+bz+cx , w=az+bx+cy , then the value of |{:(a,b,c),(b,c,a),(c,a,b):}|xx|{:(x,y,z),(y,z,x),(z,x,y):}| is