The value of `|[0,a,b],[a,0,c],[b,c,0]|` 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

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

Evaluate |[0,c,b] , [c,0,a] , [b,a,0]| hence show that |[0,c,b] , [c,0,a] , [b,a,0]|^2= |[b^2+c^2,ab,ac] , [ab,c^2+a^2,bc] , [ca,bc,a^2+b^2]|=4a^2b^2c^2

The value of det |(a,0,0,0),(2,b,0,0),(4,6,c,0),(6,8,10,d)| is (A) 0 (B) a+b+c+d (C) abcd (D) none of these

5.If a.b =b .c=c.a=0 then the value of [a,b,c] is

Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c gt 0 . If alpha and beta are roots of the equation ax^(2) + bx + c = 0 , then value of [alpha] + [beta] is

IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the value of [a b c] is

If a,b,c>0, the least value of [(a+b)/(c)]+[(b+c)/(a)]+[(c+a)/(b)] is -([*] represents integral part function )