The value of `|[a-b,b+c,a],[b-a,c+a,b],[c-a,a+b,c]|` is

The value of |{:(a- b, b- c, c - a),(b-c,c-a,a-b),(c-a,a-b,b-c):}| =

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

The value of |(b +c,a,a),(b,c +a,b),(c,c,a +b)| , is

The value of determinant |{:(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c):}| is

What is the value of the determinant |(a-b,b+c,a),(b-c,c+a,b),(c-a,a+b,c)| ?

If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}| is

If a,b,c are in G.P. then the value of |(a,b,a+b),(b,c,b+c),(a+b,b+c,0)|= (A) 1 (B) -1 (C) a+b+c (D) 0

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

If a=hati+hatj+hatk,b=hati-hatj+hatk,c=hati+2hatj-hatk , then the value of |(a*a,a*b,a*c),(b*a,b*b,b*c),(c*a,c*b,c*c)| is