Let a, b, c be the positive integers such that `|[b+c,c,b],[c,c+a,a],[b,a,a+b]|=4`, then `abc = `

Prove that |{:(b+c,c,b),(c,c+a,a),(b,a,a+b):}| =4 abc.

If a, b, and c are positive integers such that (a-b+c)(b-c+a)(c-a+b)=15 , then what is the product of a, b and c?

|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4abc

The number of (a, b, c), where a, b, c are positive integers such that abc = 30, is

Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b,c are in geometric progression and the arithmetic mean of a,b,c is b+2 , the value of (a^(2)+a-14)/(a+1) is

Let a,b,c be the three vectors such that a.(b+c)=b.(c+a)=c.(a+b)=0 and |a|=1,|b|=4,|c|=8, then |a+b+c|=

if abc!=0 and if |[a,b,c],[b,c,a],[c,a,b]|=0 then (a^3+b^3+c^3)/(abc)=

If a+b+c=1 and a, b, c are positive real numbers such that (1-a)(1-b)(1-c)gelambda" abc, then "lambda =

If a,b,are different positive real numbers such that b+c-a,c+a-b and a+b-c are positive,then (b+c-a)(c+a-b)(a+b-c)-abc is a positive b.negative c.non-positive d.non- negative